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Least Common Multiple (LCM) of 21 and 184

The least common multiple (LCM) of 21 and 184 is 3864.

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 184?

First, calculate the GCD of 21 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 21 ÷ 184 = 0 remainder 21
2 184 ÷ 21 = 8 remainder 16
3 21 ÷ 16 = 1 remainder 5
4 16 ÷ 5 = 3 remainder 1
5 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
21 and 1591113
136 and 842856
15 and 911365
137 and 587946
132 and 9712804

Try Calculating LCM of Other Numbers







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