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Least Common Multiple (LCM) of 21 and 144

The least common multiple (LCM) of 21 and 144 is 1008.

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 144?

First, calculate the GCD of 21 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 21 ÷ 144 = 0 remainder 21
2 144 ÷ 21 = 6 remainder 18
3 21 ÷ 18 = 1 remainder 3
4 18 ÷ 3 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
133 and 16722211
141 and 1386486
53 and 1095777
60 and 27540
69 and 594071

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