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 |
|---|---|
| 196 and 193 | 37828 |
| 160 and 54 | 4320 |
| 110 and 54 | 2970 |
| 142 and 87 | 12354 |
| 119 and 188 | 22372 |