Least Common Multiple (LCM) of 43 and 88
The least common multiple (LCM) of 43 and 88 is 3784.
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 43 and 88?
First, calculate the GCD of 43 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 43 ÷ 88 = 0 remainder 43 |
| 2 | 88 ÷ 43 = 2 remainder 2 |
| 3 | 43 ÷ 2 = 21 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 192 | 10560 |
| 59 and 67 | 3953 |
| 71 and 164 | 11644 |
| 111 and 39 | 1443 |
| 114 and 132 | 2508 |