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Least Common Multiple (LCM) of 61 and 163

The least common multiple (LCM) of 61 and 163 is 9943.

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 61 and 163?

First, calculate the GCD of 61 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 61 ÷ 163 = 0 remainder 61
2 163 ÷ 61 = 2 remainder 41
3 61 ÷ 41 = 1 remainder 20
4 41 ÷ 20 = 2 remainder 1
5 20 ÷ 1 = 20 remainder 0

Examples of LCM Calculations

NumbersLCM
179 and 9316647
199 and 17033830
190 and 1254750
100 and 16116100
99 and 1761584

Try Calculating LCM of Other Numbers







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