Least Common Multiple (LCM) of 46 and 39
The least common multiple (LCM) of 46 and 39 is 1794.
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 46 and 39?
First, calculate the GCD of 46 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 39 = 1 remainder 7 |
| 2 | 39 ÷ 7 = 5 remainder 4 |
| 3 | 7 ÷ 4 = 1 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 69 | 3381 |
| 115 and 51 | 5865 |
| 162 and 64 | 5184 |
| 196 and 171 | 33516 |
| 167 and 65 | 10855 |