Least Common Multiple (LCM) of 98 and 183
The least common multiple (LCM) of 98 and 183 is 17934.
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 98 and 183?
First, calculate the GCD of 98 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 183 = 0 remainder 98 |
| 2 | 183 ÷ 98 = 1 remainder 85 |
| 3 | 98 ÷ 85 = 1 remainder 13 |
| 4 | 85 ÷ 13 = 6 remainder 7 |
| 5 | 13 ÷ 7 = 1 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 64 | 3776 |
| 155 and 184 | 28520 |
| 163 and 110 | 17930 |
| 160 and 106 | 8480 |
| 179 and 175 | 31325 |