Least Common Multiple (LCM) of 110 and 54
The least common multiple (LCM) of 110 and 54 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 54?
First, calculate the GCD of 110 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 54 = 2 remainder 2 |
| 2 | 54 ÷ 2 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 87 | 12963 |
| 144 and 134 | 9648 |
| 104 and 200 | 2600 |
| 93 and 72 | 2232 |
| 10 and 107 | 1070 |