Least Common Multiple (LCM) of 179 and 177
The least common multiple (LCM) of 179 and 177 is 31683.
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 177?
First, calculate the GCD of 179 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 177 = 1 remainder 2 |
| 2 | 177 ÷ 2 = 88 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 142 | 15762 |
| 80 and 143 | 11440 |
| 37 and 13 | 481 |
| 167 and 25 | 4175 |
| 47 and 173 | 8131 |