Least Common Multiple (LCM) of 74 and 179
The least common multiple (LCM) of 74 and 179 is 13246.
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 74 and 179?
First, calculate the GCD of 74 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 179 = 0 remainder 74 |
| 2 | 179 ÷ 74 = 2 remainder 31 |
| 3 | 74 ÷ 31 = 2 remainder 12 |
| 4 | 31 ÷ 12 = 2 remainder 7 |
| 5 | 12 ÷ 7 = 1 remainder 5 |
| 6 | 7 ÷ 5 = 1 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 146 | 3504 |
| 96 and 198 | 3168 |
| 190 and 14 | 1330 |
| 39 and 77 | 3003 |
| 91 and 75 | 6825 |