Least Common Multiple (LCM) of 91 and 140
The least common multiple (LCM) of 91 and 140 is 1820.
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 91 and 140?
First, calculate the GCD of 91 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 140 = 0 remainder 91 |
| 2 | 140 ÷ 91 = 1 remainder 49 |
| 3 | 91 ÷ 49 = 1 remainder 42 |
| 4 | 49 ÷ 42 = 1 remainder 7 |
| 5 | 42 ÷ 7 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 58 and 40 | 1160 |
| 19 and 123 | 2337 |
| 76 and 113 | 8588 |
| 147 and 135 | 6615 |
| 157 and 135 | 21195 |