Least Common Multiple (LCM) of 153 and 183
The least common multiple (LCM) of 153 and 183 is 9333.
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 183?
First, calculate the GCD of 153 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 183 = 0 remainder 153 |
| 2 | 183 ÷ 153 = 1 remainder 30 |
| 3 | 153 ÷ 30 = 5 remainder 3 |
| 4 | 30 ÷ 3 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 109 | 9701 |
| 51 and 147 | 2499 |
| 17 and 110 | 1870 |
| 138 and 148 | 10212 |
| 20 and 198 | 1980 |