HowManyNumbers Logo

Least Common Multiple (LCM) of 199 and 23

The least common multiple (LCM) of 199 and 23 is 4577.

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 199 and 23?

First, calculate the GCD of 199 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 199 ÷ 23 = 8 remainder 15
2 23 ÷ 15 = 1 remainder 8
3 15 ÷ 8 = 1 remainder 7
4 8 ÷ 7 = 1 remainder 1
5 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
173 and 8214186
66 and 1826006
102 and 414182
174 and 1985742
88 and 13311704

Try Calculating LCM of Other Numbers







Related Calculators