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Least Common Multiple (LCM) of 21 and 61

The least common multiple (LCM) of 21 and 61 is 1281.

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 61?

First, calculate the GCD of 21 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 21 ÷ 61 = 0 remainder 21
2 61 ÷ 21 = 2 remainder 19
3 21 ÷ 19 = 1 remainder 2
4 19 ÷ 2 = 9 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
18 and 47846
92 and 421932
195 and 468970
151 and 152265
61 and 16910309

Try Calculating LCM of Other Numbers







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