Least Common Multiple (LCM) of 157 and 184
The least common multiple (LCM) of 157 and 184 is 28888.
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 184?
First, calculate the GCD of 157 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 184 = 0 remainder 157 |
| 2 | 184 ÷ 157 = 1 remainder 27 |
| 3 | 157 ÷ 27 = 5 remainder 22 |
| 4 | 27 ÷ 22 = 1 remainder 5 |
| 5 | 22 ÷ 5 = 4 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 80 | 5360 |
| 160 and 135 | 4320 |
| 154 and 183 | 28182 |
| 76 and 25 | 1900 |
| 40 and 80 | 80 |