Least Common Multiple (LCM) of 179 and 141
The least common multiple (LCM) of 179 and 141 is 25239.
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 141?
First, calculate the GCD of 179 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 141 = 1 remainder 38 |
| 2 | 141 ÷ 38 = 3 remainder 27 |
| 3 | 38 ÷ 27 = 1 remainder 11 |
| 4 | 27 ÷ 11 = 2 remainder 5 |
| 5 | 11 ÷ 5 = 2 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 129 | 4773 |
| 136 and 42 | 2856 |
| 46 and 78 | 1794 |
| 169 and 149 | 25181 |
| 25 and 86 | 2150 |