Least Common Multiple (LCM) of 147 and 181
The least common multiple (LCM) of 147 and 181 is 26607.
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 181?
First, calculate the GCD of 147 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 181 = 0 remainder 147 |
| 2 | 181 ÷ 147 = 1 remainder 34 |
| 3 | 147 ÷ 34 = 4 remainder 11 |
| 4 | 34 ÷ 11 = 3 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 150 | 600 |
| 53 and 106 | 106 |
| 31 and 47 | 1457 |
| 39 and 24 | 312 |
| 118 and 167 | 19706 |