Least Common Multiple (LCM) of 179 and 103
The least common multiple (LCM) of 179 and 103 is 18437.
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 103?
First, calculate the GCD of 179 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 103 = 1 remainder 76 |
| 2 | 103 ÷ 76 = 1 remainder 27 |
| 3 | 76 ÷ 27 = 2 remainder 22 |
| 4 | 27 ÷ 22 = 1 remainder 5 |
| 5 | 22 ÷ 5 = 4 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 173 | 6055 |
| 197 and 56 | 11032 |
| 44 and 120 | 1320 |
| 136 and 189 | 25704 |
| 164 and 99 | 16236 |