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Least Common Multiple (LCM) of 155 and 137

The least common multiple (LCM) of 155 and 137 is 21235.

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 155 and 137?

First, calculate the GCD of 155 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 155 ÷ 137 = 1 remainder 18
2 137 ÷ 18 = 7 remainder 11
3 18 ÷ 11 = 1 remainder 7
4 11 ÷ 7 = 1 remainder 4
5 7 ÷ 4 = 1 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
95 and 50950
139 and 618479
77 and 1981386
127 and 15019050
147 and 12418228

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