Least Common Multiple (LCM) of 93 and 140
The least common multiple (LCM) of 93 and 140 is 13020.
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 140?
First, calculate the GCD of 93 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 140 = 0 remainder 93 |
| 2 | 140 ÷ 93 = 1 remainder 47 |
| 3 | 93 ÷ 47 = 1 remainder 46 |
| 4 | 47 ÷ 46 = 1 remainder 1 |
| 5 | 46 ÷ 1 = 46 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 179 | 3401 |
| 165 and 70 | 2310 |
| 199 and 110 | 21890 |
| 192 and 30 | 960 |
| 115 and 73 | 8395 |