HowManyNumbers Logo

Least Common Multiple (LCM) of 48 and 113

The least common multiple (LCM) of 48 and 113 is 5424.

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 113?

First, calculate the GCD of 48 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 48 ÷ 113 = 0 remainder 48
2 113 ÷ 48 = 2 remainder 17
3 48 ÷ 17 = 2 remainder 14
4 17 ÷ 14 = 1 remainder 3
5 14 ÷ 3 = 4 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
168 and 12120328
25 and 1684200
20 and 32160
120 and 1669960
99 and 15715543

Try Calculating LCM of Other Numbers







Related Calculators