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Least Common Multiple (LCM) of 47 and 21

The least common multiple (LCM) of 47 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 47 and 21?

First, calculate the GCD of 47 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 47 ÷ 21 = 2 remainder 5
2 21 ÷ 5 = 4 remainder 1
3 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
54 and 1292322
159 and 19030210
136 and 1282176
153 and 11016830
105 and 1542310

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