Least Common Multiple (LCM) of 93 and 143
The least common multiple (LCM) of 93 and 143 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 93 and 143?
First, calculate the GCD of 93 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 143 = 0 remainder 93 |
| 2 | 143 ÷ 93 = 1 remainder 50 |
| 3 | 93 ÷ 50 = 1 remainder 43 |
| 4 | 50 ÷ 43 = 1 remainder 7 |
| 5 | 43 ÷ 7 = 6 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 119 | 2975 |
| 141 and 111 | 5217 |
| 157 and 36 | 5652 |
| 49 and 54 | 2646 |
| 31 and 194 | 6014 |