Least Common Multiple (LCM) of 73 and 179
The least common multiple (LCM) of 73 and 179 is 13067.
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 73 and 179?
First, calculate the GCD of 73 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 179 = 0 remainder 73 |
| 2 | 179 ÷ 73 = 2 remainder 33 |
| 3 | 73 ÷ 33 = 2 remainder 7 |
| 4 | 33 ÷ 7 = 4 remainder 5 |
| 5 | 7 ÷ 5 = 1 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 200 | 1400 |
| 152 and 31 | 4712 |
| 200 and 125 | 1000 |
| 80 and 79 | 6320 |
| 192 and 145 | 27840 |