HowManyNumbers Logo

Least Common Multiple (LCM) of 198 and 158

The least common multiple (LCM) of 198 and 158 is 15642.

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 198 and 158?

First, calculate the GCD of 198 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 198 ÷ 158 = 1 remainder 40
2 158 ÷ 40 = 3 remainder 38
3 40 ÷ 38 = 1 remainder 2
4 38 ÷ 2 = 19 remainder 0

Examples of LCM Calculations

NumbersLCM
29 and 982842
160 and 18614880
13 and 169169
38 and 861634
199 and 7114129

Try Calculating LCM of Other Numbers







Related Calculators