Least Common Multiple (LCM) of 120 and 56
The least common multiple (LCM) of 120 and 56 is 840.
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 56?
First, calculate the GCD of 120 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 56 = 2 remainder 8 |
| 2 | 56 ÷ 8 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 130 | 4420 |
| 166 and 137 | 22742 |
| 175 and 138 | 24150 |
| 115 and 61 | 7015 |
| 48 and 61 | 2928 |