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Least Common Multiple (LCM) of 124 and 149

The least common multiple (LCM) of 124 and 149 is 18476.

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 124 and 149?

First, calculate the GCD of 124 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 124 ÷ 149 = 0 remainder 124
2 149 ÷ 124 = 1 remainder 25
3 124 ÷ 25 = 4 remainder 24
4 25 ÷ 24 = 1 remainder 1
5 24 ÷ 1 = 24 remainder 0

Examples of LCM Calculations

NumbersLCM
22 and 165330
140 and 771540
118 and 131534
25 and 1674175
169 and 19432786

Try Calculating LCM of Other Numbers







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