Least Common Multiple (LCM) of 179 and 72
The least common multiple (LCM) of 179 and 72 is 12888.
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 72?
First, calculate the GCD of 179 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 72 = 2 remainder 35 |
| 2 | 72 ÷ 35 = 2 remainder 2 |
| 3 | 35 ÷ 2 = 17 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 89 | 14418 |
| 27 and 14 | 378 |
| 179 and 122 | 21838 |
| 140 and 38 | 2660 |
| 83 and 103 | 8549 |