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Least Common Multiple (LCM) of 78 and 157

The least common multiple (LCM) of 78 and 157 is 12246.

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 78 and 157?

First, calculate the GCD of 78 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 78 ÷ 157 = 0 remainder 78
2 157 ÷ 78 = 2 remainder 1
3 78 ÷ 1 = 78 remainder 0

Examples of LCM Calculations

NumbersLCM
177 and 295133
38 and 1515738
180 and 5910620
106 and 19810494
196 and 1895292

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