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Least Common Multiple (LCM) of 87 and 41

The least common multiple (LCM) of 87 and 41 is 3567.

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 87 and 41?

First, calculate the GCD of 87 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 87 ÷ 41 = 2 remainder 5
2 41 ÷ 5 = 8 remainder 1
3 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
35 and 1986930
194 and 484656
33 and 742442
68 and 1464964
44 and 1396116

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