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Least Common Multiple (LCM) of 21 and 138

The least common multiple (LCM) of 21 and 138 is 966.

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 21 and 138?

First, calculate the GCD of 21 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 21 ÷ 138 = 0 remainder 21
2 138 ÷ 21 = 6 remainder 12
3 21 ÷ 12 = 1 remainder 9
4 12 ÷ 9 = 1 remainder 3
5 9 ÷ 3 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
60 and 1722580
185 and 6712395
193 and 11822774
65 and 1026630
70 and 15710990

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