HowManyNumbers Logo

Least Common Multiple (LCM) of 165 and 173

The least common multiple (LCM) of 165 and 173 is 28545.

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 165 and 173?

First, calculate the GCD of 165 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 165 ÷ 173 = 0 remainder 165
2 173 ÷ 165 = 1 remainder 8
3 165 ÷ 8 = 20 remainder 5
4 8 ÷ 5 = 1 remainder 3
5 5 ÷ 3 = 1 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
107 and 14715729
153 and 1748874
104 and 454680
15 and 162810
144 and 705040

Try Calculating LCM of Other Numbers







Related Calculators