Least Common Multiple (LCM) of 98 and 79
The least common multiple (LCM) of 98 and 79 is 7742.
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 79?
First, calculate the GCD of 98 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 79 = 1 remainder 19 |
| 2 | 79 ÷ 19 = 4 remainder 3 |
| 3 | 19 ÷ 3 = 6 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 21 | 546 |
| 199 and 17 | 3383 |
| 186 and 91 | 16926 |
| 180 and 54 | 540 |
| 160 and 171 | 27360 |