Least Common Multiple (LCM) of 80 and 136
The least common multiple (LCM) of 80 and 136 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 80 and 136?
First, calculate the GCD of 80 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 136 = 0 remainder 80 |
| 2 | 136 ÷ 80 = 1 remainder 56 |
| 3 | 80 ÷ 56 = 1 remainder 24 |
| 4 | 56 ÷ 24 = 2 remainder 8 |
| 5 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 161 | 20447 |
| 89 and 124 | 11036 |
| 122 and 87 | 10614 |
| 83 and 163 | 13529 |
| 39 and 107 | 4173 |