Least Common Multiple (LCM) of 44 and 149
The least common multiple (LCM) of 44 and 149 is 6556.
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 149?
First, calculate the GCD of 44 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 149 = 0 remainder 44 |
| 2 | 149 ÷ 44 = 3 remainder 17 |
| 3 | 44 ÷ 17 = 2 remainder 10 |
| 4 | 17 ÷ 10 = 1 remainder 7 |
| 5 | 10 ÷ 7 = 1 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 62 | 2294 |
| 79 and 75 | 5925 |
| 190 and 45 | 1710 |
| 29 and 63 | 1827 |
| 105 and 186 | 6510 |