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Least Common Multiple (LCM) of 157 and 163

The least common multiple (LCM) of 157 and 163 is 25591.

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 157 and 163?

First, calculate the GCD of 157 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 157 ÷ 163 = 0 remainder 157
2 163 ÷ 157 = 1 remainder 6
3 157 ÷ 6 = 26 remainder 1
4 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
33 and 1003300
77 and 735621
133 and 658645
123 and 15819434
175 and 1824550

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