Least Common Multiple (LCM) of 176 and 157
The least common multiple (LCM) of 176 and 157 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 176 and 157?
First, calculate the GCD of 176 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 157 = 1 remainder 19 |
| 2 | 157 ÷ 19 = 8 remainder 5 |
| 3 | 19 ÷ 5 = 3 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 121 | 12826 |
| 177 and 155 | 27435 |
| 131 and 153 | 20043 |
| 62 and 122 | 3782 |
| 56 and 27 | 1512 |