Least Common Multiple (LCM) of 120 and 115
The least common multiple (LCM) of 120 and 115 is 2760.
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 115?
First, calculate the GCD of 120 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 115 = 1 remainder 5 |
| 2 | 115 ÷ 5 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 26 and 12 | 156 |
| 178 and 76 | 6764 |
| 36 and 18 | 36 |
| 42 and 103 | 4326 |
| 103 and 54 | 5562 |