Least Common Multiple (LCM) of 134 and 15
The least common multiple (LCM) of 134 and 15 is 2010.
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 134 and 15?
First, calculate the GCD of 134 and 15 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 15 = 8 remainder 14 |
| 2 | 15 ÷ 14 = 1 remainder 1 |
| 3 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 60 | 6780 |
| 100 and 49 | 4900 |
| 52 and 176 | 2288 |
| 55 and 30 | 330 |
| 31 and 154 | 4774 |