Least Common Multiple (LCM) of 98 and 191
The least common multiple (LCM) of 98 and 191 is 18718.
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 191?
First, calculate the GCD of 98 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 191 = 0 remainder 98 |
| 2 | 191 ÷ 98 = 1 remainder 93 |
| 3 | 98 ÷ 93 = 1 remainder 5 |
| 4 | 93 ÷ 5 = 18 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 18 | 1224 |
| 113 and 47 | 5311 |
| 184 and 40 | 920 |
| 46 and 166 | 3818 |
| 154 and 77 | 154 |