Least Common Multiple (LCM) of 18 and 52
The least common multiple (LCM) of 18 and 52 is 468.
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 52?
First, calculate the GCD of 18 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 18 ÷ 52 = 0 remainder 18 |
| 2 | 52 ÷ 18 = 2 remainder 16 |
| 3 | 18 ÷ 16 = 1 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 194 | 20370 |
| 35 and 17 | 595 |
| 91 and 157 | 14287 |
| 104 and 166 | 8632 |
| 126 and 108 | 756 |