Least Common Multiple (LCM) of 157 and 183
The least common multiple (LCM) of 157 and 183 is 28731.
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 157 and 183?
First, calculate the GCD of 157 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 183 = 0 remainder 157 |
| 2 | 183 ÷ 157 = 1 remainder 26 |
| 3 | 157 ÷ 26 = 6 remainder 1 |
| 4 | 26 ÷ 1 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 83 | 8549 |
| 67 and 14 | 938 |
| 133 and 101 | 13433 |
| 192 and 145 | 27840 |
| 21 and 47 | 987 |