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Least Common Multiple (LCM) of 122 and 79

The least common multiple (LCM) of 122 and 79 is 9638.

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 122 and 79?

First, calculate the GCD of 122 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 122 ÷ 79 = 1 remainder 43
2 79 ÷ 43 = 1 remainder 36
3 43 ÷ 36 = 1 remainder 7
4 36 ÷ 7 = 5 remainder 1
5 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
27 and 23621
35 and 1525320
39 and 1365304
80 and 13110480
40 and 1937720

Try Calculating LCM of Other Numbers







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