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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
64 and 120960
191 and 15830178
162 and 10316686
123 and 1536273
143 and 15321879

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