Least Common Multiple (LCM) of 46 and 88
The least common multiple (LCM) of 46 and 88 is 2024.
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 46 and 88?
First, calculate the GCD of 46 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 88 = 0 remainder 46 |
| 2 | 88 ÷ 46 = 1 remainder 42 |
| 3 | 46 ÷ 42 = 1 remainder 4 |
| 4 | 42 ÷ 4 = 10 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 20 | 1660 |
| 175 and 198 | 34650 |
| 70 and 82 | 2870 |
| 23 and 71 | 1633 |
| 97 and 185 | 17945 |