Least Common Multiple (LCM) of 147 and 191
The least common multiple (LCM) of 147 and 191 is 28077.
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 147 and 191?
First, calculate the GCD of 147 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 191 = 0 remainder 147 |
| 2 | 191 ÷ 147 = 1 remainder 44 |
| 3 | 147 ÷ 44 = 3 remainder 15 |
| 4 | 44 ÷ 15 = 2 remainder 14 |
| 5 | 15 ÷ 14 = 1 remainder 1 |
| 6 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 49 | 7252 |
| 141 and 160 | 22560 |
| 12 and 157 | 1884 |
| 25 and 121 | 3025 |
| 91 and 63 | 819 |