HowManyNumbers Logo

Least Common Multiple (LCM) of 87 and 66

The least common multiple (LCM) of 87 and 66 is 1914.

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 87 and 66?

First, calculate the GCD of 87 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 87 ÷ 66 = 1 remainder 21
2 66 ÷ 21 = 3 remainder 3
3 21 ÷ 3 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
158 and 11918802
162 and 564536
128 and 48384
170 and 68340
162 and 1598586

Try Calculating LCM of Other Numbers







Related Calculators