Least Common Multiple (LCM) of 173 and 77
The least common multiple (LCM) of 173 and 77 is 13321.
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 77?
First, calculate the GCD of 173 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 77 = 2 remainder 19 |
| 2 | 77 ÷ 19 = 4 remainder 1 |
| 3 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 129 | 13287 |
| 164 and 150 | 12300 |
| 166 and 23 | 3818 |
| 24 and 91 | 2184 |
| 105 and 56 | 840 |