Least Common Multiple (LCM) of 115 and 120
The least common multiple (LCM) of 115 and 120 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 115 and 120?
First, calculate the GCD of 115 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 120 = 0 remainder 115 |
| 2 | 120 ÷ 115 = 1 remainder 5 |
| 3 | 115 ÷ 5 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 63 | 9135 |
| 93 and 16 | 1488 |
| 187 and 121 | 2057 |
| 100 and 180 | 900 |
| 122 and 33 | 4026 |