Least Common Multiple (LCM) of 27 and 153
The least common multiple (LCM) of 27 and 153 is 459.
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 27 and 153?
First, calculate the GCD of 27 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 27 ÷ 153 = 0 remainder 27 |
| 2 | 153 ÷ 27 = 5 remainder 18 |
| 3 | 27 ÷ 18 = 1 remainder 9 |
| 4 | 18 ÷ 9 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 146 | 22046 |
| 51 and 14 | 714 |
| 60 and 86 | 2580 |
| 134 and 175 | 23450 |
| 101 and 73 | 7373 |