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Least Common Multiple (LCM) of 32 and 155

The least common multiple (LCM) of 32 and 155 is 4960.

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 32 and 155?

First, calculate the GCD of 32 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 32 ÷ 155 = 0 remainder 32
2 155 ÷ 32 = 4 remainder 27
3 32 ÷ 27 = 1 remainder 5
4 27 ÷ 5 = 5 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
194 and 626014
159 and 13321147
21 and 1944074
72 and 18113032
128 and 1388832

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