Least Common Multiple (LCM) of 39 and 58
The least common multiple (LCM) of 39 and 58 is 2262.
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 58?
First, calculate the GCD of 39 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 58 = 0 remainder 39 |
| 2 | 58 ÷ 39 = 1 remainder 19 |
| 3 | 39 ÷ 19 = 2 remainder 1 |
| 4 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 146 | 4672 |
| 199 and 120 | 23880 |
| 32 and 101 | 3232 |
| 150 and 148 | 11100 |
| 106 and 52 | 2756 |