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Least Common Multiple (LCM) of 161 and 123

The least common multiple (LCM) of 161 and 123 is 19803.

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 161 and 123?

First, calculate the GCD of 161 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 161 ÷ 123 = 1 remainder 38
2 123 ÷ 38 = 3 remainder 9
3 38 ÷ 9 = 4 remainder 2
4 9 ÷ 2 = 4 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
23 and 791817
83 and 17214276
147 and 446468
151 and 7411174
164 and 437052

Try Calculating LCM of Other Numbers







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