HowManyNumbers Logo

Least Common Multiple (LCM) of 113 and 145

The least common multiple (LCM) of 113 and 145 is 16385.

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 113 and 145?

First, calculate the GCD of 113 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 113 ÷ 145 = 0 remainder 113
2 145 ÷ 113 = 1 remainder 32
3 113 ÷ 32 = 3 remainder 17
4 32 ÷ 17 = 1 remainder 15
5 17 ÷ 15 = 1 remainder 2
6 15 ÷ 2 = 7 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
139 and 8912371
96 and 14914304
128 and 9111648
173 and 295017
39 and 1339

Try Calculating LCM of Other Numbers







Related Calculators