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Least Common Multiple (LCM) of 139 and 173

The least common multiple (LCM) of 139 and 173 is 24047.

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 139 and 173?

First, calculate the GCD of 139 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 139 ÷ 173 = 0 remainder 139
2 173 ÷ 139 = 1 remainder 34
3 139 ÷ 34 = 4 remainder 3
4 34 ÷ 3 = 11 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
70 and 1244340
170 and 443740
149 and 9414006
163 and 19631948
179 and 9917721

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