Least Common Multiple (LCM) of 187 and 130
The least common multiple (LCM) of 187 and 130 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 187 and 130?
First, calculate the GCD of 187 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 130 = 1 remainder 57 |
| 2 | 130 ÷ 57 = 2 remainder 16 |
| 3 | 57 ÷ 16 = 3 remainder 9 |
| 4 | 16 ÷ 9 = 1 remainder 7 |
| 5 | 9 ÷ 7 = 1 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 198 | 3960 |
| 72 and 194 | 6984 |
| 77 and 196 | 2156 |
| 110 and 75 | 1650 |
| 49 and 72 | 3528 |