Least Common Multiple (LCM) of 187 and 110
The least common multiple (LCM) of 187 and 110 is 1870.
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 110?
First, calculate the GCD of 187 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 110 = 1 remainder 77 |
| 2 | 110 ÷ 77 = 1 remainder 33 |
| 3 | 77 ÷ 33 = 2 remainder 11 |
| 4 | 33 ÷ 11 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 48 | 528 |
| 172 and 198 | 17028 |
| 75 and 14 | 1050 |
| 157 and 81 | 12717 |
| 178 and 163 | 29014 |