Least Common Multiple (LCM) of 39 and 88
The least common multiple (LCM) of 39 and 88 is 3432.
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 88?
First, calculate the GCD of 39 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 88 = 0 remainder 39 |
| 2 | 88 ÷ 39 = 2 remainder 10 |
| 3 | 39 ÷ 10 = 3 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 169 | 4732 |
| 48 and 117 | 1872 |
| 186 and 109 | 20274 |
| 103 and 18 | 1854 |
| 45 and 119 | 5355 |