Least Common Multiple (LCM) of 183 and 152
The least common multiple (LCM) of 183 and 152 is 27816.
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 183 and 152?
First, calculate the GCD of 183 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 152 = 1 remainder 31 |
| 2 | 152 ÷ 31 = 4 remainder 28 |
| 3 | 31 ÷ 28 = 1 remainder 3 |
| 4 | 28 ÷ 3 = 9 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 87 | 10614 |
| 21 and 144 | 1008 |
| 168 and 169 | 28392 |
| 136 and 123 | 16728 |
| 160 and 88 | 1760 |