Least Common Multiple (LCM) of 88 and 39
The least common multiple (LCM) of 88 and 39 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 88 and 39?
First, calculate the GCD of 88 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 39 = 2 remainder 10 |
| 2 | 39 ÷ 10 = 3 remainder 9 |
| 3 | 10 ÷ 9 = 1 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 127 | 23622 |
| 172 and 62 | 5332 |
| 149 and 192 | 28608 |
| 164 and 183 | 30012 |
| 181 and 97 | 17557 |