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Least Common Multiple (LCM) of 82 and 119

The least common multiple (LCM) of 82 and 119 is 9758.

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 82 and 119?

First, calculate the GCD of 82 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 82 ÷ 119 = 0 remainder 82
2 119 ÷ 82 = 1 remainder 37
3 82 ÷ 37 = 2 remainder 8
4 37 ÷ 8 = 4 remainder 5
5 8 ÷ 5 = 1 remainder 3
6 5 ÷ 3 = 1 remainder 2
7 3 ÷ 2 = 1 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
115 and 111265
69 and 221518
78 and 1742262
133 and 17423142
30 and 1061590

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