Least Common Multiple (LCM) of 147 and 182
The least common multiple (LCM) of 147 and 182 is 3822.
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 147 and 182?
First, calculate the GCD of 147 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 182 = 0 remainder 147 |
| 2 | 182 ÷ 147 = 1 remainder 35 |
| 3 | 147 ÷ 35 = 4 remainder 7 |
| 4 | 35 ÷ 7 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 173 | 18684 |
| 16 and 84 | 336 |
| 185 and 196 | 36260 |
| 24 and 142 | 1704 |
| 131 and 45 | 5895 |