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Least Common Multiple (LCM) of 120 and 41

The least common multiple (LCM) of 120 and 41 is 4920.

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 120 and 41?

First, calculate the GCD of 120 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 120 ÷ 41 = 2 remainder 38
2 41 ÷ 38 = 1 remainder 3
3 38 ÷ 3 = 12 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
110 and 19121010
145 and 14320735
103 and 14815244
160 and 901440
123 and 15118573

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