Least Common Multiple (LCM) of 179 and 39
The least common multiple (LCM) of 179 and 39 is 6981.
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 179 and 39?
First, calculate the GCD of 179 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 39 = 4 remainder 23 |
| 2 | 39 ÷ 23 = 1 remainder 16 |
| 3 | 23 ÷ 16 = 1 remainder 7 |
| 4 | 16 ÷ 7 = 2 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 167 | 29726 |
| 172 and 27 | 4644 |
| 177 and 30 | 1770 |
| 109 and 36 | 3924 |
| 161 and 13 | 2093 |