Least Common Multiple of 49 and 62

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 = 7²

Prime factors of 62

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

62 = 2¹x31¹

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

7², 2¹, 31¹

Step 3: Multiply these values together:

7²x2¹x31¹=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