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Least Common Multiple (LCM) of 41 and 126

The least common multiple (LCM) of 41 and 126 is 5166.

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 126?

First, calculate the GCD of 41 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 41 ÷ 126 = 0 remainder 41
2 126 ÷ 41 = 3 remainder 3
3 41 ÷ 3 = 13 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
194 and 295626
22 and 571254
150 and 443300
105 and 12420
111 and 37111

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