Least Common Multiple (LCM) of 91 and 141
The least common multiple (LCM) of 91 and 141 is 12831.
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 141?
First, calculate the GCD of 91 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 141 = 0 remainder 91 |
| 2 | 141 ÷ 91 = 1 remainder 50 |
| 3 | 91 ÷ 50 = 1 remainder 41 |
| 4 | 50 ÷ 41 = 1 remainder 9 |
| 5 | 41 ÷ 9 = 4 remainder 5 |
| 6 | 9 ÷ 5 = 1 remainder 4 |
| 7 | 5 ÷ 4 = 1 remainder 1 |
| 8 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 117 | 22347 |
| 40 and 81 | 3240 |
| 137 and 170 | 23290 |
| 172 and 125 | 21500 |
| 62 and 115 | 7130 |