Least Common Multiple (LCM) of 173 and 116
The least common multiple (LCM) of 173 and 116 is 20068.
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 116?
First, calculate the GCD of 173 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 116 = 1 remainder 57 |
| 2 | 116 ÷ 57 = 2 remainder 2 |
| 3 | 57 ÷ 2 = 28 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 183 | 23424 |
| 28 and 17 | 476 |
| 73 and 161 | 11753 |
| 164 and 190 | 15580 |
| 152 and 21 | 3192 |