Least Common Multiple (LCM) of 12 and 39
The least common multiple (LCM) of 12 and 39 is 156.
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 12 and 39?
First, calculate the GCD of 12 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 12 ÷ 39 = 0 remainder 12 |
| 2 | 39 ÷ 12 = 3 remainder 3 |
| 3 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 149 | 3427 |
| 190 and 44 | 4180 |
| 100 and 12 | 300 |
| 165 and 115 | 3795 |
| 91 and 172 | 15652 |