Least Common Multiple (LCM) of 120 and 80
The least common multiple (LCM) of 120 and 80 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 80?
First, calculate the GCD of 120 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 80 = 1 remainder 40 |
| 2 | 80 ÷ 40 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 186 | 3162 |
| 75 and 74 | 5550 |
| 49 and 150 | 7350 |
| 137 and 104 | 14248 |
| 104 and 70 | 3640 |