Least Common Multiple (LCM) of 179 and 142
The least common multiple (LCM) of 179 and 142 is 25418.
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 142?
First, calculate the GCD of 179 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 142 = 1 remainder 37 |
| 2 | 142 ÷ 37 = 3 remainder 31 |
| 3 | 37 ÷ 31 = 1 remainder 6 |
| 4 | 31 ÷ 6 = 5 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 136 | 408 |
| 133 and 108 | 14364 |
| 59 and 80 | 4720 |
| 86 and 114 | 4902 |
| 104 and 174 | 9048 |