Least Common Multiple of 53 and 60

How to find the Least Common Multiple of 53 and 60?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 53 and 60.

Follow the steps below, and let's calculate the LCM of 53 and 60.

Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 53 and 60:

Prime factors of 53

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

53 = 53¹

Prime factors of 60

The prime factors of 60 are 2, 2, 3 and 5. Prime factorization of 60 in exponential form is:

60 = 2²x3¹x5¹

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

53¹, 2², 3¹, 5¹

Step 3: Multiply these values together:

53¹x2²x3¹x5¹=3180

Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 53 and 60.

The Least Common Multiple of 53 and 60 is 3180.

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

Multiples of 60:

60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320, 1380, 1440, 1500, 1560, 1620, 1680, 1740, 1800, 1860, 1920, 1980, 2040, 2100, 2160, 2220, 2280, 2340, 2400, 2460, 2520, 2580, 2640, 2700, 2760, 2820, 2880, 2940, 3000, 3060, 3120, 3180, 3240, 3300, 3360