Least Common Multiple (LCM) of 152 and 183
The least common multiple (LCM) of 152 and 183 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 152 and 183?
First, calculate the GCD of 152 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 183 = 0 remainder 152 |
| 2 | 183 ÷ 152 = 1 remainder 31 |
| 3 | 152 ÷ 31 = 4 remainder 28 |
| 4 | 31 ÷ 28 = 1 remainder 3 |
| 5 | 28 ÷ 3 = 9 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 174 | 1218 |
| 147 and 140 | 2940 |
| 64 and 168 | 1344 |
| 69 and 193 | 13317 |
| 74 and 195 | 14430 |