HowManyNumbers Logo

Least Common Multiple (LCM) of 48 and 60

The least common multiple (LCM) of 48 and 60 is 240.

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 48 and 60?

First, calculate the GCD of 48 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 48 ÷ 60 = 0 remainder 48
2 60 ÷ 48 = 1 remainder 12
3 48 ÷ 12 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
95 and 1252375
176 and 464048
187 and 1531683
121 and 19623716
150 and 342550

Try Calculating LCM of Other Numbers







Related Calculators