Least Common Multiple (LCM) of 179 and 147
The least common multiple (LCM) of 179 and 147 is 26313.
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 147?
First, calculate the GCD of 179 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 147 = 1 remainder 32 |
| 2 | 147 ÷ 32 = 4 remainder 19 |
| 3 | 32 ÷ 19 = 1 remainder 13 |
| 4 | 19 ÷ 13 = 1 remainder 6 |
| 5 | 13 ÷ 6 = 2 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 21 | 168 |
| 158 and 115 | 18170 |
| 188 and 110 | 10340 |
| 132 and 197 | 26004 |
| 71 and 61 | 4331 |