Least Common Multiple (LCM) of 118 and 60
The least common multiple (LCM) of 118 and 60 is 3540.
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 118 and 60?
First, calculate the GCD of 118 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 60 = 1 remainder 58 |
| 2 | 60 ÷ 58 = 1 remainder 2 |
| 3 | 58 ÷ 2 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 126 | 630 |
| 73 and 73 | 73 |
| 67 and 71 | 4757 |
| 133 and 80 | 10640 |
| 147 and 166 | 24402 |