Least Common Multiple (LCM) of 173 and 126
The least common multiple (LCM) of 173 and 126 is 21798.
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 126?
First, calculate the GCD of 173 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 126 = 1 remainder 47 |
| 2 | 126 ÷ 47 = 2 remainder 32 |
| 3 | 47 ÷ 32 = 1 remainder 15 |
| 4 | 32 ÷ 15 = 2 remainder 2 |
| 5 | 15 ÷ 2 = 7 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 93 and 40 | 3720 |
| 80 and 21 | 1680 |
| 187 and 103 | 19261 |
| 113 and 16 | 1808 |
| 133 and 25 | 3325 |