Least Common Multiple (LCM) of 147 and 115
The least common multiple (LCM) of 147 and 115 is 16905.
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 115?
First, calculate the GCD of 147 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 115 = 1 remainder 32 |
| 2 | 115 ÷ 32 = 3 remainder 19 |
| 3 | 32 ÷ 19 = 1 remainder 13 |
| 4 | 19 ÷ 13 = 1 remainder 6 |
| 5 | 13 ÷ 6 = 2 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 84 | 3108 |
| 86 and 87 | 7482 |
| 117 and 195 | 585 |
| 173 and 153 | 26469 |
| 62 and 65 | 4030 |