Least Common Multiple (LCM) of 182 and 153
The least common multiple (LCM) of 182 and 153 is 27846.
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 182 and 153?
First, calculate the GCD of 182 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 153 = 1 remainder 29 |
| 2 | 153 ÷ 29 = 5 remainder 8 |
| 3 | 29 ÷ 8 = 3 remainder 5 |
| 4 | 8 ÷ 5 = 1 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 117 | 819 |
| 33 and 196 | 6468 |
| 148 and 45 | 6660 |
| 125 and 82 | 10250 |
| 185 and 75 | 2775 |