Least Common Multiple (LCM) of 131 and 147
The least common multiple (LCM) of 131 and 147 is 19257.
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 131 and 147?
First, calculate the GCD of 131 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 147 = 0 remainder 131 |
| 2 | 147 ÷ 131 = 1 remainder 16 |
| 3 | 131 ÷ 16 = 8 remainder 3 |
| 4 | 16 ÷ 3 = 5 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 30 | 330 |
| 65 and 36 | 2340 |
| 77 and 137 | 10549 |
| 119 and 169 | 20111 |
| 182 and 73 | 13286 |