Least Common Multiple (LCM) of 147 and 155
The least common multiple (LCM) of 147 and 155 is 22785.
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 155?
First, calculate the GCD of 147 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 155 = 0 remainder 147 |
| 2 | 155 ÷ 147 = 1 remainder 8 |
| 3 | 147 ÷ 8 = 18 remainder 3 |
| 4 | 8 ÷ 3 = 2 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 50 | 4650 |
| 77 and 151 | 11627 |
| 31 and 138 | 4278 |
| 81 and 75 | 2025 |
| 176 and 10 | 880 |