Least Common Multiple (LCM) of 153 and 54
The least common multiple (LCM) of 153 and 54 is 918.
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 153 and 54?
First, calculate the GCD of 153 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 54 = 2 remainder 45 |
| 2 | 54 ÷ 45 = 1 remainder 9 |
| 3 | 45 ÷ 9 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 199 | 38805 |
| 85 and 66 | 5610 |
| 124 and 146 | 9052 |
| 172 and 21 | 3612 |
| 135 and 99 | 1485 |