Least Common Multiple (LCM) of 55 and 24
The least common multiple (LCM) of 55 and 24 is 1320.
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 55 and 24?
First, calculate the GCD of 55 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 24 = 2 remainder 7 |
| 2 | 24 ÷ 7 = 3 remainder 3 |
| 3 | 7 ÷ 3 = 2 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 132 | 1980 |
| 65 and 123 | 7995 |
| 28 and 199 | 5572 |
| 126 and 158 | 9954 |
| 98 and 63 | 882 |