Least Common Multiple (LCM) of 147 and 32
The least common multiple (LCM) of 147 and 32 is 4704.
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 32?
First, calculate the GCD of 147 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 32 = 4 remainder 19 |
| 2 | 32 ÷ 19 = 1 remainder 13 |
| 3 | 19 ÷ 13 = 1 remainder 6 |
| 4 | 13 ÷ 6 = 2 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 105 | 5460 |
| 63 and 57 | 1197 |
| 91 and 85 | 7735 |
| 101 and 171 | 17271 |
| 49 and 175 | 1225 |