Least Common Multiple (LCM) of 98 and 149
The least common multiple (LCM) of 98 and 149 is 14602.
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 149?
First, calculate the GCD of 98 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 149 = 0 remainder 98 |
| 2 | 149 ÷ 98 = 1 remainder 51 |
| 3 | 98 ÷ 51 = 1 remainder 47 |
| 4 | 51 ÷ 47 = 1 remainder 4 |
| 5 | 47 ÷ 4 = 11 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 51 | 8517 |
| 110 and 75 | 1650 |
| 168 and 27 | 1512 |
| 174 and 158 | 13746 |
| 104 and 95 | 9880 |