Least Common Multiple (LCM) of 120 and 82
The least common multiple (LCM) of 120 and 82 is 4920.
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 82?
First, calculate the GCD of 120 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 82 = 1 remainder 38 |
| 2 | 82 ÷ 38 = 2 remainder 6 |
| 3 | 38 ÷ 6 = 6 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 192 | 24384 |
| 154 and 84 | 924 |
| 39 and 13 | 39 |
| 20 and 200 | 200 |
| 123 and 170 | 20910 |