Least Common Multiple (LCM) of 142 and 120
The least common multiple (LCM) of 142 and 120 is 8520.
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 142 and 120?
First, calculate the GCD of 142 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 120 = 1 remainder 22 |
| 2 | 120 ÷ 22 = 5 remainder 10 |
| 3 | 22 ÷ 10 = 2 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 95 and 77 | 7315 |
| 120 and 82 | 4920 |
| 64 and 51 | 3264 |
| 32 and 125 | 4000 |
| 174 and 28 | 2436 |