Least Common Multiple (LCM) of 116 and 60
The least common multiple (LCM) of 116 and 60 is 1740.
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 116 and 60?
First, calculate the GCD of 116 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 60 = 1 remainder 56 |
| 2 | 60 ÷ 56 = 1 remainder 4 |
| 3 | 56 ÷ 4 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 127 | 16256 |
| 68 and 15 | 1020 |
| 96 and 71 | 6816 |
| 57 and 103 | 5871 |
| 93 and 66 | 2046 |