HowManyNumbers Logo

Least Common Multiple (LCM) of 172 and 133

The least common multiple (LCM) of 172 and 133 is 22876.

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 172 and 133?

First, calculate the GCD of 172 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 172 ÷ 133 = 1 remainder 39
2 133 ÷ 39 = 3 remainder 16
3 39 ÷ 16 = 2 remainder 7
4 16 ÷ 7 = 2 remainder 2
5 7 ÷ 2 = 3 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
97 and 747178
36 and 1161044
116 and 11713572
103 and 11611948
195 and 1388970

Try Calculating LCM of Other Numbers







Related Calculators