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Least Common Multiple (LCM) of 11 and 139

The least common multiple (LCM) of 11 and 139 is 1529.

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 11 and 139?

First, calculate the GCD of 11 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 11 ÷ 139 = 0 remainder 11
2 139 ÷ 11 = 12 remainder 7
3 11 ÷ 7 = 1 remainder 4
4 7 ÷ 4 = 1 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
41 and 1024182
48 and 28336
121 and 688228
98 and 341666
121 and 11614036

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