Least Common Multiple (LCM) of 98 and 120
The least common multiple (LCM) of 98 and 120 is 5880.
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 120?
First, calculate the GCD of 98 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 120 = 0 remainder 98 |
| 2 | 120 ÷ 98 = 1 remainder 22 |
| 3 | 98 ÷ 22 = 4 remainder 10 |
| 4 | 22 ÷ 10 = 2 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 28 | 1260 |
| 93 and 26 | 2418 |
| 182 and 45 | 8190 |
| 52 and 134 | 3484 |
| 119 and 29 | 3451 |