Least Common Multiple (LCM) of 98 and 179
The least common multiple (LCM) of 98 and 179 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 98 and 179?
First, calculate the GCD of 98 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 179 = 0 remainder 98 |
| 2 | 179 ÷ 98 = 1 remainder 81 |
| 3 | 98 ÷ 81 = 1 remainder 17 |
| 4 | 81 ÷ 17 = 4 remainder 13 |
| 5 | 17 ÷ 13 = 1 remainder 4 |
| 6 | 13 ÷ 4 = 3 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 192 | 2112 |
| 74 and 135 | 9990 |
| 159 and 183 | 9699 |
| 199 and 150 | 29850 |
| 194 and 70 | 6790 |