HowManyNumbers Logo

Least Common Multiple (LCM) of 48 and 137

The least common multiple (LCM) of 48 and 137 is 6576.

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 137?

First, calculate the GCD of 48 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 48 ÷ 137 = 0 remainder 48
2 137 ÷ 48 = 2 remainder 41
3 48 ÷ 41 = 1 remainder 7
4 41 ÷ 7 = 5 remainder 6
5 7 ÷ 6 = 1 remainder 1
6 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
104 and 20520
87 and 1109570
96 and 14513920
80 and 1179360
191 and 14527695

Try Calculating LCM of Other Numbers







Related Calculators