Least Common Multiple (LCM) of 10 and 88
The least common multiple (LCM) of 10 and 88 is 440.
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 10 and 88?
First, calculate the GCD of 10 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 10 ÷ 88 = 0 remainder 10 |
| 2 | 88 ÷ 10 = 8 remainder 8 |
| 3 | 10 ÷ 8 = 1 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 102 | 408 |
| 129 and 68 | 8772 |
| 102 and 101 | 10302 |
| 171 and 25 | 4275 |
| 159 and 129 | 6837 |