Least Common Multiple (LCM) of 44 and 170
The least common multiple (LCM) of 44 and 170 is 3740.
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 170?
First, calculate the GCD of 44 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 170 = 0 remainder 44 |
| 2 | 170 ÷ 44 = 3 remainder 38 |
| 3 | 44 ÷ 38 = 1 remainder 6 |
| 4 | 38 ÷ 6 = 6 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 112 | 15792 |
| 70 and 186 | 6510 |
| 114 and 57 | 114 |
| 197 and 69 | 13593 |
| 80 and 113 | 9040 |