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Least Common Multiple (LCM) of 119 and 139

The least common multiple (LCM) of 119 and 139 is 16541.

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 119 and 139?

First, calculate the GCD of 119 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 119 ÷ 139 = 0 remainder 119
2 139 ÷ 119 = 1 remainder 20
3 119 ÷ 20 = 5 remainder 19
4 20 ÷ 19 = 1 remainder 1
5 19 ÷ 1 = 19 remainder 0

Examples of LCM Calculations

NumbersLCM
32 and 26416
10 and 48240
189 and 1026426
153 and 263978
160 and 281120

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