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Least Common Multiple (LCM) of 75 and 149

The least common multiple (LCM) of 75 and 149 is 11175.

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 75 and 149?

First, calculate the GCD of 75 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 75 ÷ 149 = 0 remainder 75
2 149 ÷ 75 = 1 remainder 74
3 75 ÷ 74 = 1 remainder 1
4 74 ÷ 1 = 74 remainder 0

Examples of LCM Calculations

NumbersLCM
185 and 10719795
180 and 763420
160 and 16927040
136 and 17411832
15 and 44660

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