Least Common Multiple (LCM) of 52 and 88
The least common multiple (LCM) of 52 and 88 is 1144.
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 52 and 88?
First, calculate the GCD of 52 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 88 = 0 remainder 52 |
| 2 | 88 ÷ 52 = 1 remainder 36 |
| 3 | 52 ÷ 36 = 1 remainder 16 |
| 4 | 36 ÷ 16 = 2 remainder 4 |
| 5 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 120 | 4440 |
| 15 and 57 | 285 |
| 18 and 77 | 1386 |
| 10 and 55 | 110 |
| 100 and 180 | 900 |