Least Common Multiple (LCM) of 79 and 44
The least common multiple (LCM) of 79 and 44 is 3476.
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 79 and 44?
First, calculate the GCD of 79 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 44 = 1 remainder 35 |
| 2 | 44 ÷ 35 = 1 remainder 9 |
| 3 | 35 ÷ 9 = 3 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 80 | 560 |
| 24 and 90 | 360 |
| 115 and 55 | 1265 |
| 145 and 187 | 27115 |
| 162 and 178 | 14418 |