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 |
|---|---|
| 76 and 70 | 2660 |
| 110 and 69 | 7590 |
| 169 and 157 | 26533 |
| 53 and 127 | 6731 |
| 20 and 124 | 620 |