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Least Common Multiple (LCM) of 21 and 126

The least common multiple (LCM) of 21 and 126 is 126.

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 126?

First, calculate the GCD of 21 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 21 ÷ 126 = 0 remainder 21
2 126 ÷ 21 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
187 and 18534595
177 and 452655
191 and 377067
125 and 486000
93 and 12811904

Try Calculating LCM of Other Numbers







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