HowManyNumbers Logo

Least Common Multiple (LCM) of 82 and 66

The least common multiple (LCM) of 82 and 66 is 2706.

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 82 and 66?

First, calculate the GCD of 82 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 82 ÷ 66 = 1 remainder 16
2 66 ÷ 16 = 4 remainder 2
3 16 ÷ 2 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
142 and 604260
64 and 15910176
171 and 1387866
61 and 724392
55 and 1638965

Try Calculating LCM of Other Numbers







Related Calculators