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Least Common Multiple (LCM) of 121 and 63

The least common multiple (LCM) of 121 and 63 is 7623.

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 121 and 63?

First, calculate the GCD of 121 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 121 ÷ 63 = 1 remainder 58
2 63 ÷ 58 = 1 remainder 5
3 58 ÷ 5 = 11 remainder 3
4 5 ÷ 3 = 1 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
150 and 523900
134 and 1026834
48 and 17816
103 and 17217716
100 and 575700

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