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Least Common Multiple (LCM) of 137 and 38

The least common multiple (LCM) of 137 and 38 is 5206.

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 137 and 38?

First, calculate the GCD of 137 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 137 ÷ 38 = 3 remainder 23
2 38 ÷ 23 = 1 remainder 15
3 23 ÷ 15 = 1 remainder 8
4 15 ÷ 8 = 1 remainder 7
5 8 ÷ 7 = 1 remainder 1
6 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
35 and 1776195
11 and 154154
198 and 1432574
80 and 421680
48 and 1882256

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