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Least Common Multiple (LCM) of 52 and 149

The least common multiple (LCM) of 52 and 149 is 7748.

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 52 and 149?

First, calculate the GCD of 52 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 52 ÷ 149 = 0 remainder 52
2 149 ÷ 52 = 2 remainder 45
3 52 ÷ 45 = 1 remainder 7
4 45 ÷ 7 = 6 remainder 3
5 7 ÷ 3 = 2 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
110 and 70770
161 and 11718837
33 and 77231
194 and 201940
175 and 14124675

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