HowManyNumbers Logo

Least Common Multiple (LCM) of 109 and 83

The least common multiple (LCM) of 109 and 83 is 9047.

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 109 and 83?

First, calculate the GCD of 109 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 109 ÷ 83 = 1 remainder 26
2 83 ÷ 26 = 3 remainder 5
3 26 ÷ 5 = 5 remainder 1
4 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
24 and 1831464
45 and 1094905
179 and 11620764
98 and 414018
111 and 1896993

Try Calculating LCM of Other Numbers







Related Calculators