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Least Common Multiple (LCM) of 95 and 121

The least common multiple (LCM) of 95 and 121 is 11495.

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 95 and 121?

First, calculate the GCD of 95 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 95 ÷ 121 = 0 remainder 95
2 121 ÷ 95 = 1 remainder 26
3 95 ÷ 26 = 3 remainder 17
4 26 ÷ 17 = 1 remainder 9
5 17 ÷ 9 = 1 remainder 8
6 9 ÷ 8 = 1 remainder 1
7 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
170 and 85170
130 and 181170
106 and 14515370
62 and 1966076
100 and 1452900

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