Least Common Multiple (LCM) of 39 and 147
The least common multiple (LCM) of 39 and 147 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 39 and 147?
First, calculate the GCD of 39 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 147 = 0 remainder 39 |
| 2 | 147 ÷ 39 = 3 remainder 30 |
| 3 | 39 ÷ 30 = 1 remainder 9 |
| 4 | 30 ÷ 9 = 3 remainder 3 |
| 5 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 139 | 14039 |
| 141 and 118 | 16638 |
| 127 and 121 | 15367 |
| 103 and 124 | 12772 |
| 174 and 126 | 3654 |