Least Common Multiple (LCM) of 44 and 35
The least common multiple (LCM) of 44 and 35 is 1540.
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 44 and 35?
First, calculate the GCD of 44 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 35 = 1 remainder 9 |
| 2 | 35 ÷ 9 = 3 remainder 8 |
| 3 | 9 ÷ 8 = 1 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 99 | 1386 |
| 66 and 155 | 10230 |
| 35 and 70 | 70 |
| 89 and 27 | 2403 |
| 181 and 36 | 6516 |