Least Common Multiple (LCM) of 102 and 179
The least common multiple (LCM) of 102 and 179 is 18258.
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 102 and 179?
First, calculate the GCD of 102 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 179 = 0 remainder 102 |
| 2 | 179 ÷ 102 = 1 remainder 77 |
| 3 | 102 ÷ 77 = 1 remainder 25 |
| 4 | 77 ÷ 25 = 3 remainder 2 |
| 5 | 25 ÷ 2 = 12 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 182 | 14378 |
| 140 and 191 | 26740 |
| 92 and 88 | 2024 |
| 35 and 188 | 6580 |
| 194 and 44 | 4268 |