Least Common Multiple (LCM) of 183 and 72
The least common multiple (LCM) of 183 and 72 is 4392.
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 72?
First, calculate the GCD of 183 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 72 = 2 remainder 39 |
| 2 | 72 ÷ 39 = 1 remainder 33 |
| 3 | 39 ÷ 33 = 1 remainder 6 |
| 4 | 33 ÷ 6 = 5 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 21 | 42 |
| 141 and 66 | 3102 |
| 151 and 192 | 28992 |
| 131 and 90 | 11790 |
| 153 and 158 | 24174 |