Least Common Multiple (LCM) of 147 and 185
The least common multiple (LCM) of 147 and 185 is 27195.
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 185?
First, calculate the GCD of 147 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 185 = 0 remainder 147 |
| 2 | 185 ÷ 147 = 1 remainder 38 |
| 3 | 147 ÷ 38 = 3 remainder 33 |
| 4 | 38 ÷ 33 = 1 remainder 5 |
| 5 | 33 ÷ 5 = 6 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 177 | 15753 |
| 138 and 47 | 6486 |
| 174 and 87 | 174 |
| 35 and 140 | 140 |
| 140 and 101 | 14140 |