Least Common Multiple (LCM) of 173 and 79
The least common multiple (LCM) of 173 and 79 is 13667.
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 173 and 79?
First, calculate the GCD of 173 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 79 = 2 remainder 15 |
| 2 | 79 ÷ 15 = 5 remainder 4 |
| 3 | 15 ÷ 4 = 3 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 199 | 1990 |
| 110 and 32 | 1760 |
| 131 and 150 | 19650 |
| 72 and 83 | 5976 |
| 160 and 175 | 5600 |