Least Common Multiple (LCM) of 184 and 79
The least common multiple (LCM) of 184 and 79 is 14536.
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 184 and 79?
First, calculate the GCD of 184 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 79 = 2 remainder 26 |
| 2 | 79 ÷ 26 = 3 remainder 1 |
| 3 | 26 ÷ 1 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 130 | 12740 |
| 45 and 93 | 1395 |
| 134 and 146 | 9782 |
| 41 and 109 | 4469 |
| 95 and 119 | 11305 |