Least Common Multiple (LCM) of 153 and 182
The least common multiple (LCM) of 153 and 182 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 153 and 182?
First, calculate the GCD of 153 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 182 = 0 remainder 153 |
| 2 | 182 ÷ 153 = 1 remainder 29 |
| 3 | 153 ÷ 29 = 5 remainder 8 |
| 4 | 29 ÷ 8 = 3 remainder 5 |
| 5 | 8 ÷ 5 = 1 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 173 | 11764 |
| 44 and 197 | 8668 |
| 33 and 83 | 2739 |
| 38 and 129 | 4902 |
| 134 and 96 | 6432 |