Least Common Multiple (LCM) of 43 and 79
The least common multiple (LCM) of 43 and 79 is 3397.
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 43 and 79?
First, calculate the GCD of 43 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 43 ÷ 79 = 0 remainder 43 |
| 2 | 79 ÷ 43 = 1 remainder 36 |
| 3 | 43 ÷ 36 = 1 remainder 7 |
| 4 | 36 ÷ 7 = 5 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 58 | 10382 |
| 106 and 169 | 17914 |
| 12 and 147 | 588 |
| 105 and 155 | 3255 |
| 170 and 147 | 24990 |