Least Common Multiple (LCM) of 147 and 39
The least common multiple (LCM) of 147 and 39 is 1911.
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 39?
First, calculate the GCD of 147 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 39 = 3 remainder 30 |
| 2 | 39 ÷ 30 = 1 remainder 9 |
| 3 | 30 ÷ 9 = 3 remainder 3 |
| 4 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 174 | 14964 |
| 32 and 25 | 800 |
| 77 and 114 | 8778 |
| 19 and 78 | 1482 |
| 22 and 148 | 1628 |