Least Common Multiple (LCM) of 120 and 58
The least common multiple (LCM) of 120 and 58 is 3480.
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 58?
First, calculate the GCD of 120 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 58 = 2 remainder 4 |
| 2 | 58 ÷ 4 = 14 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 34 | 1394 |
| 91 and 92 | 8372 |
| 196 and 82 | 8036 |
| 149 and 115 | 17135 |
| 114 and 165 | 6270 |