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Least Common Multiple (LCM) of 57 and 12

The least common multiple (LCM) of 57 and 12 is 228.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 57 and 12?

First, calculate the GCD of 57 and 12 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 57 ÷ 12 = 4 remainder 9
2 12 ÷ 9 = 1 remainder 3
3 9 ÷ 3 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
154 and 8112474
183 and 12732
102 and 232346
136 and 13318088
160 and 619760

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