Least Common Multiple (LCM) of 199 and 99
The least common multiple (LCM) of 199 and 99 is 19701.
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 99?
First, calculate the GCD of 199 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 99 = 2 remainder 1 |
| 2 | 99 ÷ 1 = 99 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 75 | 1725 |
| 141 and 126 | 5922 |
| 166 and 141 | 23406 |
| 110 and 150 | 1650 |
| 95 and 187 | 17765 |