Least Common Multiple (LCM) of 110 and 187
The least common multiple (LCM) of 110 and 187 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 110 and 187?
First, calculate the GCD of 110 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 187 = 0 remainder 110 |
| 2 | 187 ÷ 110 = 1 remainder 77 |
| 3 | 110 ÷ 77 = 1 remainder 33 |
| 4 | 77 ÷ 33 = 2 remainder 11 |
| 5 | 33 ÷ 11 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 159 | 12720 |
| 82 and 98 | 4018 |
| 108 and 122 | 6588 |
| 112 and 126 | 1008 |
| 93 and 129 | 3999 |