HowManyNumbers Logo

Least Common Multiple (LCM) of 21 and 87

The least common multiple (LCM) of 21 and 87 is 609.

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 87?

First, calculate the GCD of 21 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 21 ÷ 87 = 0 remainder 21
2 87 ÷ 21 = 4 remainder 3
3 21 ÷ 3 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
83 and 746142
161 and 13121091
35 and 1234305
169 and 9516055
187 and 12423188

Try Calculating LCM of Other Numbers







Related Calculators