Least Common Multiple (LCM) of 53 and 44
The least common multiple (LCM) of 53 and 44 is 2332.
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 53 and 44?
First, calculate the GCD of 53 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 53 ÷ 44 = 1 remainder 9 |
| 2 | 44 ÷ 9 = 4 remainder 8 |
| 3 | 9 ÷ 8 = 1 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 116 | 10324 |
| 39 and 113 | 4407 |
| 102 and 67 | 6834 |
| 30 and 43 | 1290 |
| 200 and 95 | 3800 |