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Least Common Multiple (LCM) of 156 and 124

The least common multiple (LCM) of 156 and 124 is 4836.

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 156 and 124?

First, calculate the GCD of 156 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 156 ÷ 124 = 1 remainder 32
2 124 ÷ 32 = 3 remainder 28
3 32 ÷ 28 = 1 remainder 4
4 28 ÷ 4 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
95 and 15915105
125 and 18122625
176 and 181584
168 and 538904
30 and 1342010

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