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 |
|---|---|
| 32 and 143 | 4576 |
| 189 and 93 | 5859 |
| 89 and 18 | 1602 |
| 17 and 157 | 2669 |
| 149 and 139 | 20711 |