HowManyNumbers Logo

Least Common Multiple (LCM) of 180 and 163

The least common multiple (LCM) of 180 and 163 is 29340.

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 180 and 163?

First, calculate the GCD of 180 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 180 ÷ 163 = 1 remainder 17
2 163 ÷ 17 = 9 remainder 10
3 17 ÷ 10 = 1 remainder 7
4 10 ÷ 7 = 1 remainder 3
5 7 ÷ 3 = 2 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
32 and 832656
78 and 19915522
71 and 18513135
165 and 11819470
197 and 9418518

Try Calculating LCM of Other Numbers







Related Calculators