Least Common Multiple (LCM) of 18 and 152
The least common multiple (LCM) of 18 and 152 is 1368.
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 152?
First, calculate the GCD of 18 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 18 ÷ 152 = 0 remainder 18 |
| 2 | 152 ÷ 18 = 8 remainder 8 |
| 3 | 18 ÷ 8 = 2 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 53 | 8003 |
| 192 and 51 | 3264 |
| 164 and 90 | 7380 |
| 47 and 154 | 7238 |
| 135 and 143 | 19305 |