Least Common Multiple (LCM) of 120 and 62
The least common multiple (LCM) of 120 and 62 is 3720.
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 62?
First, calculate the GCD of 120 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 62 = 1 remainder 58 |
| 2 | 62 ÷ 58 = 1 remainder 4 |
| 3 | 58 ÷ 4 = 14 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 138 | 9798 |
| 37 and 176 | 6512 |
| 167 and 42 | 7014 |
| 13 and 113 | 1469 |
| 117 and 65 | 585 |