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Least Common Multiple (LCM) of 92 and 163

The least common multiple (LCM) of 92 and 163 is 14996.

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 92 and 163?

First, calculate the GCD of 92 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 92 ÷ 163 = 0 remainder 92
2 163 ÷ 92 = 1 remainder 71
3 92 ÷ 71 = 1 remainder 21
4 71 ÷ 21 = 3 remainder 8
5 21 ÷ 8 = 2 remainder 5
6 8 ÷ 5 = 1 remainder 3
7 5 ÷ 3 = 1 remainder 2
8 3 ÷ 2 = 1 remainder 1
9 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
48 and 1231968
72 and 66792
146 and 1289344
176 and 1872992
170 and 1001700

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