Least Common Multiple (LCM) of 60 and 136
The least common multiple (LCM) of 60 and 136 is 2040.
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 60 and 136?
First, calculate the GCD of 60 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 60 ÷ 136 = 0 remainder 60 |
| 2 | 136 ÷ 60 = 2 remainder 16 |
| 3 | 60 ÷ 16 = 3 remainder 12 |
| 4 | 16 ÷ 12 = 1 remainder 4 |
| 5 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 152 | 1064 |
| 142 and 15 | 2130 |
| 146 and 83 | 12118 |
| 29 and 58 | 58 |
| 99 and 116 | 11484 |