Least Common Multiple (LCM) of 179 and 97
The least common multiple (LCM) of 179 and 97 is 17363.
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 179 and 97?
First, calculate the GCD of 179 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 97 = 1 remainder 82 |
| 2 | 97 ÷ 82 = 1 remainder 15 |
| 3 | 82 ÷ 15 = 5 remainder 7 |
| 4 | 15 ÷ 7 = 2 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 13 | 2470 |
| 138 and 130 | 8970 |
| 84 and 82 | 3444 |
| 191 and 103 | 19673 |
| 196 and 193 | 37828 |