Least Common Multiple (LCM) of 143 and 93
The least common multiple (LCM) of 143 and 93 is 13299.
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 143 and 93?
First, calculate the GCD of 143 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 93 = 1 remainder 50 |
| 2 | 93 ÷ 50 = 1 remainder 43 |
| 3 | 50 ÷ 43 = 1 remainder 7 |
| 4 | 43 ÷ 7 = 6 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 115 | 7130 |
| 29 and 114 | 3306 |
| 48 and 105 | 1680 |
| 57 and 120 | 2280 |
| 177 and 157 | 27789 |