Least Common Multiple (LCM) of 173 and 98
The least common multiple (LCM) of 173 and 98 is 16954.
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 98?
First, calculate the GCD of 173 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 98 = 1 remainder 75 |
| 2 | 98 ÷ 75 = 1 remainder 23 |
| 3 | 75 ÷ 23 = 3 remainder 6 |
| 4 | 23 ÷ 6 = 3 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 198 | 1386 |
| 169 and 10 | 1690 |
| 40 and 67 | 2680 |
| 102 and 154 | 7854 |
| 138 and 106 | 7314 |