Least Common Multiple (LCM) of 173 and 157
The least common multiple (LCM) of 173 and 157 is 27161.
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 173 and 157?
First, calculate the GCD of 173 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 157 = 1 remainder 16 |
| 2 | 157 ÷ 16 = 9 remainder 13 |
| 3 | 16 ÷ 13 = 1 remainder 3 |
| 4 | 13 ÷ 3 = 4 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 78 | 8970 |
| 173 and 129 | 22317 |
| 142 and 93 | 13206 |
| 75 and 102 | 2550 |
| 176 and 175 | 30800 |