Least Common Multiple (LCM) of 134 and 60
The least common multiple (LCM) of 134 and 60 is 4020.
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 60?
First, calculate the GCD of 134 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 60 = 2 remainder 14 |
| 2 | 60 ÷ 14 = 4 remainder 4 |
| 3 | 14 ÷ 4 = 3 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 156 | 6708 |
| 28 and 43 | 1204 |
| 170 and 18 | 1530 |
| 29 and 53 | 1537 |
| 32 and 79 | 2528 |