Least Common Multiple (LCM) of 179 and 98
The least common multiple (LCM) of 179 and 98 is 17542.
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 98?
First, calculate the GCD of 179 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 98 = 1 remainder 81 |
| 2 | 98 ÷ 81 = 1 remainder 17 |
| 3 | 81 ÷ 17 = 4 remainder 13 |
| 4 | 17 ÷ 13 = 1 remainder 4 |
| 5 | 13 ÷ 4 = 3 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 45 | 360 |
| 25 and 15 | 75 |
| 106 and 34 | 1802 |
| 174 and 193 | 33582 |
| 177 and 76 | 13452 |