Least Common Multiple (LCM) of 57 and 153
The least common multiple (LCM) of 57 and 153 is 2907.
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 57 and 153?
First, calculate the GCD of 57 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 57 ÷ 153 = 0 remainder 57 |
| 2 | 153 ÷ 57 = 2 remainder 39 |
| 3 | 57 ÷ 39 = 1 remainder 18 |
| 4 | 39 ÷ 18 = 2 remainder 3 |
| 5 | 18 ÷ 3 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 63 | 315 |
| 22 and 46 | 506 |
| 147 and 179 | 26313 |
| 114 and 45 | 1710 |
| 89 and 139 | 12371 |