Least Common Multiple (LCM) of 110 and 27
The least common multiple (LCM) of 110 and 27 is 2970.
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 27?
First, calculate the GCD of 110 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 27 = 4 remainder 2 |
| 2 | 27 ÷ 2 = 13 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 47 | 7943 |
| 151 and 30 | 4530 |
| 37 and 198 | 7326 |
| 102 and 121 | 12342 |
| 133 and 54 | 7182 |