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Least Common Multiple (LCM) of 149 and 79

The least common multiple (LCM) of 149 and 79 is 11771.

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 149 and 79?

First, calculate the GCD of 149 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 149 ÷ 79 = 1 remainder 70
2 79 ÷ 70 = 1 remainder 9
3 70 ÷ 9 = 7 remainder 7
4 9 ÷ 7 = 1 remainder 2
5 7 ÷ 2 = 3 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
149 and 274023
94 and 111034
110 and 643520
46 and 632898
28 and 182364

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