HowManyNumbers Logo

Least Common Multiple (LCM) of 111 and 113

The least common multiple (LCM) of 111 and 113 is 12543.

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 111 and 113?

First, calculate the GCD of 111 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 111 ÷ 113 = 0 remainder 111
2 113 ÷ 111 = 1 remainder 2
3 111 ÷ 2 = 55 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
110 and 422310
84 and 15713188
105 and 1252625
62 and 674154
158 and 132054

Try Calculating LCM of Other Numbers







Related Calculators