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Least Common Multiple (LCM) of 41 and 32

The least common multiple (LCM) of 41 and 32 is 1312.

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 41 and 32?

First, calculate the GCD of 41 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 41 ÷ 32 = 1 remainder 9
2 32 ÷ 9 = 3 remainder 5
3 9 ÷ 5 = 1 remainder 4
4 5 ÷ 4 = 1 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
104 and 15315912
97 and 787566
169 and 8213858
64 and 16910816
99 and 959405

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