Least Common Multiple (LCM) of 157 and 182
The least common multiple (LCM) of 157 and 182 is 28574.
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 182?
First, calculate the GCD of 157 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 182 = 0 remainder 157 |
| 2 | 182 ÷ 157 = 1 remainder 25 |
| 3 | 157 ÷ 25 = 6 remainder 7 |
| 4 | 25 ÷ 7 = 3 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 138 | 6072 |
| 184 and 15 | 2760 |
| 42 and 105 | 210 |
| 195 and 28 | 5460 |
| 13 and 143 | 143 |