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Least Common Multiple (LCM) of 71 and 119

The least common multiple (LCM) of 71 and 119 is 8449.

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 71 and 119?

First, calculate the GCD of 71 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 71 ÷ 119 = 0 remainder 71
2 119 ÷ 71 = 1 remainder 48
3 71 ÷ 48 = 1 remainder 23
4 48 ÷ 23 = 2 remainder 2
5 23 ÷ 2 = 11 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
105 and 434515
12 and 156156
175 and 14325025
169 and 17329237
165 and 1236765

Try Calculating LCM of Other Numbers







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