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Least Common Multiple (LCM) of 139 and 157

The least common multiple (LCM) of 139 and 157 is 21823.

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 157?

First, calculate the GCD of 139 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 139 ÷ 157 = 0 remainder 139
2 157 ÷ 139 = 1 remainder 18
3 139 ÷ 18 = 7 remainder 13
4 18 ÷ 13 = 1 remainder 5
5 13 ÷ 5 = 2 remainder 3
6 5 ÷ 3 = 1 remainder 2
7 3 ÷ 2 = 1 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
28 and 88616
97 and 18017460
26 and 1393614
154 and 18814476
176 and 12528

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