Least Common Multiple (LCM) of 44 and 179
The least common multiple (LCM) of 44 and 179 is 7876.
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 179?
First, calculate the GCD of 44 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 44 ÷ 179 = 0 remainder 44 |
| 2 | 179 ÷ 44 = 4 remainder 3 |
| 3 | 44 ÷ 3 = 14 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 24 | 600 |
| 29 and 131 | 3799 |
| 103 and 126 | 12978 |
| 87 and 118 | 10266 |
| 74 and 72 | 2664 |