Least Common Multiple (LCM) of 52 and 179
The least common multiple (LCM) of 52 and 179 is 9308.
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 52 and 179?
First, calculate the GCD of 52 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 179 = 0 remainder 52 |
| 2 | 179 ÷ 52 = 3 remainder 23 |
| 3 | 52 ÷ 23 = 2 remainder 6 |
| 4 | 23 ÷ 6 = 3 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 148 | 15540 |
| 176 and 168 | 3696 |
| 105 and 42 | 210 |
| 166 and 46 | 3818 |
| 19 and 68 | 1292 |