Least Common Multiple (LCM) of 179 and 64
The least common multiple (LCM) of 179 and 64 is 11456.
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 64?
First, calculate the GCD of 179 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 64 = 2 remainder 51 |
| 2 | 64 ÷ 51 = 1 remainder 13 |
| 3 | 51 ÷ 13 = 3 remainder 12 |
| 4 | 13 ÷ 12 = 1 remainder 1 |
| 5 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 182 | 9100 |
| 188 and 51 | 9588 |
| 144 and 80 | 720 |
| 169 and 27 | 4563 |
| 113 and 110 | 12430 |