Least Common Multiple (LCM) of 130 and 187
The least common multiple (LCM) of 130 and 187 is 24310.
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 130 and 187?
First, calculate the GCD of 130 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 187 = 0 remainder 130 |
| 2 | 187 ÷ 130 = 1 remainder 57 |
| 3 | 130 ÷ 57 = 2 remainder 16 |
| 4 | 57 ÷ 16 = 3 remainder 9 |
| 5 | 16 ÷ 9 = 1 remainder 7 |
| 6 | 9 ÷ 7 = 1 remainder 2 |
| 7 | 7 ÷ 2 = 3 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 193 | 25669 |
| 57 and 114 | 114 |
| 158 and 101 | 15958 |
| 42 and 91 | 546 |
| 102 and 72 | 1224 |