Least Common Multiple (LCM) of 51 and 44
The least common multiple (LCM) of 51 and 44 is 2244.
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 51 and 44?
First, calculate the GCD of 51 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 51 ÷ 44 = 1 remainder 7 |
| 2 | 44 ÷ 7 = 6 remainder 2 |
| 3 | 7 ÷ 2 = 3 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 34 | 2448 |
| 170 and 151 | 25670 |
| 183 and 196 | 35868 |
| 61 and 93 | 5673 |
| 14 and 49 | 98 |