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Least Common Multiple (LCM) of 150 and 124

The least common multiple (LCM) of 150 and 124 is 9300.

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 150 and 124?

First, calculate the GCD of 150 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 150 ÷ 124 = 1 remainder 26
2 124 ÷ 26 = 4 remainder 20
3 26 ÷ 20 = 1 remainder 6
4 20 ÷ 6 = 3 remainder 2
5 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
70 and 1501050
64 and 24192
142 and 19013490
185 and 1656105
95 and 1703230

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