Least Common Multiple (LCM) of 107 and 44
The least common multiple (LCM) of 107 and 44 is 4708.
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 107 and 44?
First, calculate the GCD of 107 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 44 = 2 remainder 19 |
| 2 | 44 ÷ 19 = 2 remainder 6 |
| 3 | 19 ÷ 6 = 3 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 60 | 6180 |
| 60 and 23 | 1380 |
| 153 and 18 | 306 |
| 124 and 156 | 4836 |
| 60 and 174 | 1740 |