Least Common Multiple (LCM) of 52 and 143
The least common multiple (LCM) of 52 and 143 is 572.
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 52 and 143?
First, calculate the GCD of 52 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 143 = 0 remainder 52 |
| 2 | 143 ÷ 52 = 2 remainder 39 |
| 3 | 52 ÷ 39 = 1 remainder 13 |
| 4 | 39 ÷ 13 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 80 | 14320 |
| 100 and 147 | 14700 |
| 159 and 191 | 30369 |
| 169 and 21 | 3549 |
| 156 and 57 | 2964 |