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Least Common Multiple (LCM) of 123 and 162

The least common multiple (LCM) of 123 and 162 is 6642.

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 162?

First, calculate the GCD of 123 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 123 ÷ 162 = 0 remainder 123
2 162 ÷ 123 = 1 remainder 39
3 123 ÷ 39 = 3 remainder 6
4 39 ÷ 6 = 6 remainder 3
5 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
178 and 519078
134 and 946298
177 and 325664
148 and 1108140
124 and 762356

Try Calculating LCM of Other Numbers







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