Least Common Multiple (LCM) of 120 and 155
The least common multiple (LCM) of 120 and 155 is 3720.
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 155?
First, calculate the GCD of 120 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 155 = 0 remainder 120 |
| 2 | 155 ÷ 120 = 1 remainder 35 |
| 3 | 120 ÷ 35 = 3 remainder 15 |
| 4 | 35 ÷ 15 = 2 remainder 5 |
| 5 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 120 | 1320 |
| 154 and 31 | 4774 |
| 102 and 50 | 2550 |
| 78 and 26 | 78 |
| 174 and 154 | 13398 |