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Least Common Multiple (LCM) of 123 and 186

The least common multiple (LCM) of 123 and 186 is 7626.

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 123 and 186?

First, calculate the GCD of 123 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 123 ÷ 186 = 0 remainder 123
2 186 ÷ 123 = 1 remainder 63
3 123 ÷ 63 = 1 remainder 60
4 63 ÷ 60 = 1 remainder 3
5 60 ÷ 3 = 20 remainder 0

Examples of LCM Calculations

NumbersLCM
41 and 1747134
177 and 6711859
31 and 25775
134 and 1167772
73 and 14110293

Try Calculating LCM of Other Numbers







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