Least Common Multiple (LCM) of 110 and 147
The least common multiple (LCM) of 110 and 147 is 16170.
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 147?
First, calculate the GCD of 110 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 147 = 0 remainder 110 |
| 2 | 147 ÷ 110 = 1 remainder 37 |
| 3 | 110 ÷ 37 = 2 remainder 36 |
| 4 | 37 ÷ 36 = 1 remainder 1 |
| 5 | 36 ÷ 1 = 36 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 29 | 1218 |
| 37 and 180 | 6660 |
| 102 and 18 | 306 |
| 123 and 60 | 2460 |
| 170 and 47 | 7990 |