Least Common Multiple (LCM) of 79 and 186
The least common multiple (LCM) of 79 and 186 is 14694.
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 186?
First, calculate the GCD of 79 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 186 = 0 remainder 79 |
| 2 | 186 ÷ 79 = 2 remainder 28 |
| 3 | 79 ÷ 28 = 2 remainder 23 |
| 4 | 28 ÷ 23 = 1 remainder 5 |
| 5 | 23 ÷ 5 = 4 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 71 | 994 |
| 100 and 179 | 17900 |
| 92 and 51 | 4692 |
| 104 and 48 | 624 |
| 55 and 107 | 5885 |