Least Common Multiple (LCM) of 120 and 158
The least common multiple (LCM) of 120 and 158 is 9480.
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 120 and 158?
First, calculate the GCD of 120 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 158 = 0 remainder 120 |
| 2 | 158 ÷ 120 = 1 remainder 38 |
| 3 | 120 ÷ 38 = 3 remainder 6 |
| 4 | 38 ÷ 6 = 6 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 134 | 17018 |
| 68 and 80 | 1360 |
| 14 and 36 | 252 |
| 99 and 198 | 198 |
| 51 and 170 | 510 |