Least Common Multiple (LCM) of 141 and 97
The least common multiple (LCM) of 141 and 97 is 13677.
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 97?
First, calculate the GCD of 141 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 97 = 1 remainder 44 |
| 2 | 97 ÷ 44 = 2 remainder 9 |
| 3 | 44 ÷ 9 = 4 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 155 | 29605 |
| 19 and 20 | 380 |
| 48 and 81 | 1296 |
| 140 and 151 | 21140 |
| 24 and 45 | 360 |