HowManyNumbers Logo

Least Common Multiple (LCM) of 79 and 89

The least common multiple (LCM) of 79 and 89 is 7031.

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 79 and 89?

First, calculate the GCD of 79 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 79 ÷ 89 = 0 remainder 79
2 89 ÷ 79 = 1 remainder 10
3 79 ÷ 10 = 7 remainder 9
4 10 ÷ 9 = 1 remainder 1
5 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
82 and 301230
106 and 212226
51 and 1829282
37 and 1525624
11 and 57627

Try Calculating LCM of Other Numbers







Related Calculators