Least Common Multiple (LCM) of 43 and 179
The least common multiple (LCM) of 43 and 179 is 7697.
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 179?
First, calculate the GCD of 43 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 43 ÷ 179 = 0 remainder 43 |
| 2 | 179 ÷ 43 = 4 remainder 7 |
| 3 | 43 ÷ 7 = 6 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 151 | 12533 |
| 138 and 36 | 828 |
| 20 and 90 | 180 |
| 48 and 167 | 8016 |
| 142 and 78 | 5538 |