Least Common Multiple (LCM) of 79 and 198
The least common multiple (LCM) of 79 and 198 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 79 and 198?
First, calculate the GCD of 79 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 198 = 0 remainder 79 |
| 2 | 198 ÷ 79 = 2 remainder 40 |
| 3 | 79 ÷ 40 = 1 remainder 39 |
| 4 | 40 ÷ 39 = 1 remainder 1 |
| 5 | 39 ÷ 1 = 39 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 24 | 1032 |
| 198 and 137 | 27126 |
| 99 and 160 | 15840 |
| 60 and 38 | 1140 |
| 88 and 109 | 9592 |