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 |
|---|---|
| 132 and 40 | 1320 |
| 141 and 142 | 20022 |
| 176 and 164 | 7216 |
| 54 and 26 | 702 |
| 94 and 15 | 1410 |