Least Common Multiple (LCM) of 179 and 176
The least common multiple (LCM) of 179 and 176 is 31504.
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 176?
First, calculate the GCD of 179 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 176 = 1 remainder 3 |
| 2 | 176 ÷ 3 = 58 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 73 | 9928 |
| 121 and 178 | 21538 |
| 165 and 46 | 7590 |
| 162 and 110 | 8910 |
| 170 and 154 | 13090 |