Least Common Multiple (LCM) of 141 and 91
The least common multiple (LCM) of 141 and 91 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 141 and 91?
First, calculate the GCD of 141 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 91 = 1 remainder 50 |
| 2 | 91 ÷ 50 = 1 remainder 41 |
| 3 | 50 ÷ 41 = 1 remainder 9 |
| 4 | 41 ÷ 9 = 4 remainder 5 |
| 5 | 9 ÷ 5 = 1 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 40 | 520 |
| 90 and 22 | 990 |
| 38 and 187 | 7106 |
| 161 and 161 | 161 |
| 60 and 76 | 1140 |