## How to find the Least Common Multiple of 49 and 62?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 49 and 62.

Follow the steps below, and let's calculate the LCM of 49 and 62.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 49 and 62:

##### Prime factors of 49

The prime factors of **49** are **7 and 7**.
Prime factorization of **49** in exponential form is:

**49** = 7^{2}

##### Prime factors of 62

The prime factors of **62** are **2 and 31**.
Prime factorization of **62** in exponential form is:

**62** = 2^{1}x31^{1}

#### Step 2: Identify the highest power of each prime number from the above boxes:

7^{2}, 2^{1}, 31^{1}

#### Step 3: Multiply these values together:

7^{2}x2^{1}x31^{1}=**3038**

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 49 and 62.

The Least Common Multiple of **49 and 62** is **3038**.

### Method 2 - List of Multiples

Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.

#### Multiples of **49**:

49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539, 588, 637, 686, 735, 784, 833, 882, 931, 980, 1029, 1078, 1127, 1176, 1225, 1274, 1323, 1372, 1421, 1470, 1519, 1568, 1617, 1666, 1715, 1764, 1813, 1862, 1911, 1960, 2009, 2058, 2107, 2156, 2205, 2254, 2303, 2352, 2401, 2450, 2499, 2548, 2597, 2646, 2695, 2744, 2793, 2842, 2891, 2940, 2989, 3038, 3087, 3136, 3185

#### Multiples of **62**:

62, 124, 186, 248, 310, 372, 434, 496, 558, 620, 682, 744, 806, 868, 930, 992, 1054, 1116, 1178, 1240, 1302, 1364, 1426, 1488, 1550, 1612, 1674, 1736, 1798, 1860, 1922, 1984, 2046, 2108, 2170, 2232, 2294, 2356, 2418, 2480, 2542, 2604, 2666, 2728, 2790, 2852, 2914, 2976, 3038, 3100, 3162, 3224

#### Therefore,

LCM(49, 62) = **3038**