Least Common Multiple (LCM) of 157 and 176
The least common multiple (LCM) of 157 and 176 is 27632.
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 176?
First, calculate the GCD of 157 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 176 = 0 remainder 157 |
| 2 | 176 ÷ 157 = 1 remainder 19 |
| 3 | 157 ÷ 19 = 8 remainder 5 |
| 4 | 19 ÷ 5 = 3 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 16 | 208 |
| 146 and 166 | 12118 |
| 184 and 67 | 12328 |
| 36 and 38 | 684 |
| 28 and 72 | 504 |