Least Common Multiple (LCM) of 55 and 53
The least common multiple (LCM) of 55 and 53 is 2915.
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 53?
First, calculate the GCD of 55 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 53 = 1 remainder 2 |
| 2 | 53 ÷ 2 = 26 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 50 | 1350 |
| 123 and 147 | 6027 |
| 34 and 43 | 1462 |
| 142 and 153 | 21726 |
| 182 and 75 | 13650 |