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Least Common Multiple (LCM) of 145 and 79

The least common multiple (LCM) of 145 and 79 is 11455.

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 145 and 79?

First, calculate the GCD of 145 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 145 ÷ 79 = 1 remainder 66
2 79 ÷ 66 = 1 remainder 13
3 66 ÷ 13 = 5 remainder 1
4 13 ÷ 1 = 13 remainder 0

Examples of LCM Calculations

NumbersLCM
144 and 16144
106 and 10310918
23 and 1262898
36 and 1214356
135 and 75675

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