Least Common Multiple (LCM) of 179 and 51
The least common multiple (LCM) of 179 and 51 is 9129.
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 51?
First, calculate the GCD of 179 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 51 = 3 remainder 26 |
| 2 | 51 ÷ 26 = 1 remainder 25 |
| 3 | 26 ÷ 25 = 1 remainder 1 |
| 4 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 112 | 336 |
| 17 and 196 | 3332 |
| 77 and 172 | 13244 |
| 109 and 98 | 10682 |
| 144 and 62 | 4464 |