Least Common Multiple (LCM) of 187 and 99
The least common multiple (LCM) of 187 and 99 is 1683.
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 99?
First, calculate the GCD of 187 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 99 = 1 remainder 88 |
| 2 | 99 ÷ 88 = 1 remainder 11 |
| 3 | 88 ÷ 11 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 171 | 31122 |
| 51 and 115 | 5865 |
| 65 and 140 | 1820 |
| 172 and 107 | 18404 |
| 24 and 77 | 1848 |