Least Common Multiple (LCM) of 88 and 35
The least common multiple (LCM) of 88 and 35 is 3080.
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 35?
First, calculate the GCD of 88 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 35 = 2 remainder 18 |
| 2 | 35 ÷ 18 = 1 remainder 17 |
| 3 | 18 ÷ 17 = 1 remainder 1 |
| 4 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 15 | 255 |
| 15 and 103 | 1545 |
| 186 and 195 | 12090 |
| 196 and 29 | 5684 |
| 126 and 82 | 5166 |