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Least Common Multiple (LCM) of 121 and 85

The least common multiple (LCM) of 121 and 85 is 10285.

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 85?

First, calculate the GCD of 121 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 121 ÷ 85 = 1 remainder 36
2 85 ÷ 36 = 2 remainder 13
3 36 ÷ 13 = 2 remainder 10
4 13 ÷ 10 = 1 remainder 3
5 10 ÷ 3 = 3 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
19 and 1041976
182 and 18616926
120 and 651560
185 and 5810730
10 and 1391390

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