Least Common Multiple (LCM) of 136 and 80
The least common multiple (LCM) of 136 and 80 is 1360.
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 136 and 80?
First, calculate the GCD of 136 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 80 = 1 remainder 56 |
| 2 | 80 ÷ 56 = 1 remainder 24 |
| 3 | 56 ÷ 24 = 2 remainder 8 |
| 4 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 96 and 43 | 4128 |
| 116 and 195 | 22620 |
| 26 and 167 | 4342 |
| 137 and 88 | 12056 |
| 96 and 55 | 5280 |