Least Common Multiple (LCM) of 120 and 48
The least common multiple (LCM) of 120 and 48 is 240.
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 48?
First, calculate the GCD of 120 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 48 = 2 remainder 24 |
| 2 | 48 ÷ 24 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 90 | 13590 |
| 92 and 200 | 4600 |
| 24 and 46 | 552 |
| 172 and 10 | 860 |
| 101 and 59 | 5959 |