Least Common Multiple (LCM) of 147 and 80
The least common multiple (LCM) of 147 and 80 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 147 and 80?
First, calculate the GCD of 147 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 80 = 1 remainder 67 |
| 2 | 80 ÷ 67 = 1 remainder 13 |
| 3 | 67 ÷ 13 = 5 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 132 | 14916 |
| 175 and 61 | 10675 |
| 79 and 141 | 11139 |
| 65 and 143 | 715 |
| 96 and 173 | 16608 |