Least Common Multiple (LCM) of 18 and 53
The least common multiple (LCM) of 18 and 53 is 954.
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 18 and 53?
First, calculate the GCD of 18 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 18 ÷ 53 = 0 remainder 18 |
| 2 | 53 ÷ 18 = 2 remainder 17 |
| 3 | 18 ÷ 17 = 1 remainder 1 |
| 4 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 195 | 12090 |
| 170 and 75 | 2550 |
| 13 and 32 | 416 |
| 129 and 40 | 5160 |
| 200 and 189 | 37800 |