Least Common Multiple (LCM) of 140 and 93
The least common multiple (LCM) of 140 and 93 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 140 and 93?
First, calculate the GCD of 140 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 93 = 1 remainder 47 |
| 2 | 93 ÷ 47 = 1 remainder 46 |
| 3 | 47 ÷ 46 = 1 remainder 1 |
| 4 | 46 ÷ 1 = 46 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 95 and 195 | 3705 |
| 103 and 125 | 12875 |
| 71 and 185 | 13135 |
| 15 and 200 | 600 |
| 138 and 74 | 5106 |