HowManyNumbers Logo

Least Common Multiple (LCM) of 83 and 66

The least common multiple (LCM) of 83 and 66 is 5478.

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 83 and 66?

First, calculate the GCD of 83 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 83 ÷ 66 = 1 remainder 17
2 66 ÷ 17 = 3 remainder 15
3 17 ÷ 15 = 1 remainder 2
4 15 ÷ 2 = 7 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
55 and 1317205
23 and 36828
165 and 18310065
150 and 619150
65 and 1318515

Try Calculating LCM of Other Numbers







Related Calculators