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Least Common Multiple (LCM) of 15 and 163

The least common multiple (LCM) of 15 and 163 is 2445.

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 15 and 163?

First, calculate the GCD of 15 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 15 ÷ 163 = 0 remainder 15
2 163 ÷ 15 = 10 remainder 13
3 15 ÷ 13 = 1 remainder 2
4 13 ÷ 2 = 6 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
57 and 1172223
97 and 12712319
57 and 871653
29 and 1053045
12 and 200600

Try Calculating LCM of Other Numbers







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