Least Common Multiple (LCM) of 131 and 149
The least common multiple (LCM) of 131 and 149 is 19519.
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 149?
First, calculate the GCD of 131 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 149 = 0 remainder 131 |
| 2 | 149 ÷ 131 = 1 remainder 18 |
| 3 | 131 ÷ 18 = 7 remainder 5 |
| 4 | 18 ÷ 5 = 3 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 40 | 7960 |
| 67 and 56 | 3752 |
| 12 and 13 | 156 |
| 155 and 32 | 4960 |
| 29 and 55 | 1595 |