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 |
|---|---|
| 37 and 145 | 5365 |
| 168 and 22 | 1848 |
| 193 and 184 | 35512 |
| 189 and 169 | 31941 |
| 185 and 152 | 28120 |