HowManyNumbers Logo

Least Common Multiple (LCM) of 82 and 128

The least common multiple (LCM) of 82 and 128 is 5248.

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 128?

First, calculate the GCD of 82 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 82 ÷ 128 = 0 remainder 82
2 128 ÷ 82 = 1 remainder 46
3 82 ÷ 46 = 1 remainder 36
4 46 ÷ 36 = 1 remainder 10
5 36 ÷ 10 = 3 remainder 6
6 10 ÷ 6 = 1 remainder 4
7 6 ÷ 4 = 1 remainder 2
8 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
174 and 18910962
36 and 198396
43 and 1205160
200 and 1656600
146 and 443212

Try Calculating LCM of Other Numbers







Related Calculators