HowManyNumbers Logo

Least Common Multiple (LCM) of 99 and 175

The least common multiple (LCM) of 99 and 175 is 17325.

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 99 and 175?

First, calculate the GCD of 99 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 99 ÷ 175 = 0 remainder 99
2 175 ÷ 99 = 1 remainder 76
3 99 ÷ 76 = 1 remainder 23
4 76 ÷ 23 = 3 remainder 7
5 23 ÷ 7 = 3 remainder 2
6 7 ÷ 2 = 3 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
105 and 293045
39 and 1847176
187 and 18033660
28 and 30420
28 and 98196

Try Calculating LCM of Other Numbers







Related Calculators