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Least Common Multiple (LCM) of 109 and 119

The least common multiple (LCM) of 109 and 119 is 12971.

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 109 and 119?

First, calculate the GCD of 109 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 109 ÷ 119 = 0 remainder 109
2 119 ÷ 109 = 1 remainder 10
3 109 ÷ 10 = 10 remainder 9
4 10 ÷ 9 = 1 remainder 1
5 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
154 and 12924
67 and 16711189
31 and 1614991
163 and 13021190
150 and 391950

Try Calculating LCM of Other Numbers







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