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Least Common Multiple (LCM) of 141 and 21

The least common multiple (LCM) of 141 and 21 is 987.

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 141 and 21?

First, calculate the GCD of 141 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 141 ÷ 21 = 6 remainder 15
2 21 ÷ 15 = 1 remainder 6
3 15 ÷ 6 = 2 remainder 3
4 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
32 and 68544
134 and 1228174
86 and 14112126
105 and 747770
152 and 17726904

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