Least Common Multiple (LCM) of 147 and 57
The least common multiple (LCM) of 147 and 57 is 2793.
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 147 and 57?
First, calculate the GCD of 147 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 57 = 2 remainder 33 |
| 2 | 57 ÷ 33 = 1 remainder 24 |
| 3 | 33 ÷ 24 = 1 remainder 9 |
| 4 | 24 ÷ 9 = 2 remainder 6 |
| 5 | 9 ÷ 6 = 1 remainder 3 |
| 6 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 33 | 528 |
| 143 and 84 | 12012 |
| 114 and 178 | 10146 |
| 143 and 153 | 21879 |
| 151 and 84 | 12684 |