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Least Common Multiple (LCM) of 12 and 57

The least common multiple (LCM) of 12 and 57 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 12 and 57?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
29 and 1414089
164 and 376068
51 and 884488
63 and 16710521
100 and 212100

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