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Least Common Multiple (LCM) of 38 and 155

The least common multiple (LCM) of 38 and 155 is 5890.

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 38 and 155?

First, calculate the GCD of 38 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 38 ÷ 155 = 0 remainder 38
2 155 ÷ 38 = 4 remainder 3
3 38 ÷ 3 = 12 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
138 and 1308970
11 and 1701870
135 and 21945
121 and 829922
132 and 1114884

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