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Least Common Multiple (LCM) of 41 and 76

The least common multiple (LCM) of 41 and 76 is 3116.

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 76?

First, calculate the GCD of 41 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 41 ÷ 76 = 0 remainder 41
2 76 ÷ 41 = 1 remainder 35
3 41 ÷ 35 = 1 remainder 6
4 35 ÷ 6 = 5 remainder 5
5 6 ÷ 5 = 1 remainder 1
6 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
105 and 1121680
25 and 120600
115 and 1653795
86 and 514386
68 and 2003400

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