HowManyNumbers Logo

Least Common Multiple (LCM) of 61 and 96

The least common multiple (LCM) of 61 and 96 is 5856.

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 61 and 96?

First, calculate the GCD of 61 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 61 ÷ 96 = 0 remainder 61
2 96 ÷ 61 = 1 remainder 35
3 61 ÷ 35 = 1 remainder 26
4 35 ÷ 26 = 1 remainder 9
5 26 ÷ 9 = 2 remainder 8
6 9 ÷ 8 = 1 remainder 1
7 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
140 and 8111340
183 and 498967
48 and 1501200
114 and 152456
59 and 382242

Try Calculating LCM of Other Numbers







Related Calculators