Least Common Multiple (LCM) of 179 and 192
The least common multiple (LCM) of 179 and 192 is 34368.
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 192?
First, calculate the GCD of 179 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 192 = 0 remainder 179 |
| 2 | 192 ÷ 179 = 1 remainder 13 |
| 3 | 179 ÷ 13 = 13 remainder 10 |
| 4 | 13 ÷ 10 = 1 remainder 3 |
| 5 | 10 ÷ 3 = 3 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 71 | 10011 |
| 188 and 164 | 7708 |
| 177 and 12 | 708 |
| 173 and 91 | 15743 |
| 35 and 74 | 2590 |