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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
184 and 585336
18 and 40360
33 and 1892079
99 and 10710593
81 and 655265

Try Calculating LCM of Other Numbers







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