Least Common Multiple (LCM) of 13 and 39
The least common multiple (LCM) of 13 and 39 is 39.
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 13 and 39?
First, calculate the GCD of 13 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 13 ÷ 39 = 0 remainder 13 |
| 2 | 39 ÷ 13 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 165 | 6435 |
| 131 and 148 | 19388 |
| 64 and 111 | 7104 |
| 137 and 195 | 26715 |
| 148 and 178 | 13172 |