Least Common Multiple (LCM) of 198 and 79
The least common multiple (LCM) of 198 and 79 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 79?
First, calculate the GCD of 198 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 79 = 2 remainder 40 |
| 2 | 79 ÷ 40 = 1 remainder 39 |
| 3 | 40 ÷ 39 = 1 remainder 1 |
| 4 | 39 ÷ 1 = 39 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 43 | 6106 |
| 55 and 180 | 1980 |
| 143 and 47 | 6721 |
| 123 and 119 | 14637 |
| 20 and 55 | 220 |