Least Common Multiple (LCM) of 80 and 147
The least common multiple (LCM) of 80 and 147 is 11760.
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 147?
First, calculate the GCD of 80 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 147 = 0 remainder 80 |
| 2 | 147 ÷ 80 = 1 remainder 67 |
| 3 | 80 ÷ 67 = 1 remainder 13 |
| 4 | 67 ÷ 13 = 5 remainder 2 |
| 5 | 13 ÷ 2 = 6 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 32 | 2912 |
| 82 and 129 | 10578 |
| 196 and 56 | 392 |
| 176 and 108 | 4752 |
| 94 and 45 | 4230 |