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Least Common Multiple (LCM) of 71 and 79

The least common multiple (LCM) of 71 and 79 is 5609.

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 79?

First, calculate the GCD of 71 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 71 ÷ 79 = 0 remainder 71
2 79 ÷ 71 = 1 remainder 8
3 71 ÷ 8 = 8 remainder 7
4 8 ÷ 7 = 1 remainder 1
5 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
74 and 823034
73 and 765548
144 and 1416768
84 and 11924
86 and 14602

Try Calculating LCM of Other Numbers







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