Least Common Multiple (LCM) of 120 and 39
The least common multiple (LCM) of 120 and 39 is 1560.
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 39?
First, calculate the GCD of 120 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 39 = 3 remainder 3 |
| 2 | 39 ÷ 3 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 20 | 1260 |
| 116 and 183 | 21228 |
| 48 and 130 | 3120 |
| 155 and 156 | 24180 |
| 134 and 194 | 12998 |