Least Common Multiple (LCM) of 59 and 39
The least common multiple (LCM) of 59 and 39 is 2301.
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 59 and 39?
First, calculate the GCD of 59 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 39 = 1 remainder 20 |
| 2 | 39 ÷ 20 = 1 remainder 19 |
| 3 | 20 ÷ 19 = 1 remainder 1 |
| 4 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 167 | 19539 |
| 101 and 53 | 5353 |
| 173 and 64 | 11072 |
| 56 and 173 | 9688 |
| 172 and 90 | 7740 |