Least Common Multiple (LCM) of 179 and 40
The least common multiple (LCM) of 179 and 40 is 7160.
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 40?
First, calculate the GCD of 179 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 40 = 4 remainder 19 |
| 2 | 40 ÷ 19 = 2 remainder 2 |
| 3 | 19 ÷ 2 = 9 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 61 | 9333 |
| 100 and 140 | 700 |
| 97 and 15 | 1455 |
| 157 and 58 | 9106 |
| 123 and 16 | 1968 |