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Least Common Multiple (LCM) of 10 and 121

The least common multiple (LCM) of 10 and 121 is 1210.

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 10 and 121?

First, calculate the GCD of 10 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 10 ÷ 121 = 0 remainder 10
2 121 ÷ 10 = 12 remainder 1
3 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
34 and 933162
130 and 1201560
39 and 1104290
118 and 14116638
147 and 15222344

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