Least Common Multiple of 53 and 62

How to find the Least Common Multiple of 53 and 62?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 53 and 62.

Follow the steps below, and let's calculate the LCM of 53 and 62.

Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 53 and 62:

Prime factors of 53

The prime factors of 53 are 53. Prime factorization of 53 in exponential form is:

53 = 53¹

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:

53¹, 2¹, 31¹

Step 3: Multiply these values together:

53¹x2¹x31¹=3286

Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 53 and 62.

The Least Common Multiple of 53 and 62 is 3286.

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 53:

53, 106, 159, 212, 265, 318, 371, 424, 477, 530, 583, 636, 689, 742, 795, 848, 901, 954, 1007, 1060, 1113, 1166, 1219, 1272, 1325, 1378, 1431, 1484, 1537, 1590, 1643, 1696, 1749, 1802, 1855, 1908, 1961, 2014, 2067, 2120, 2173, 2226, 2279, 2332, 2385, 2438, 2491, 2544, 2597, 2650, 2703, 2756, 2809, 2862, 2915, 2968, 3021, 3074, 3127, 3180, 3233, 3286, 3339, 3392, 3445

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, 3286, 3348, 3410, 3472