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Least Common Multiple (LCM) of 42 and 121

The least common multiple (LCM) of 42 and 121 is 5082.

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 42 and 121?

First, calculate the GCD of 42 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 42 ÷ 121 = 0 remainder 42
2 121 ÷ 42 = 2 remainder 37
3 42 ÷ 37 = 1 remainder 5
4 37 ÷ 5 = 7 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
179 and 264654
69 and 16611454
57 and 1863534
30 and 69690
98 and 15915582

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