Least Common Multiple (LCM) of 149 and 98
The least common multiple (LCM) of 149 and 98 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 149 and 98?
First, calculate the GCD of 149 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 98 = 1 remainder 51 |
| 2 | 98 ÷ 51 = 1 remainder 47 |
| 3 | 51 ÷ 47 = 1 remainder 4 |
| 4 | 47 ÷ 4 = 11 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 102 | 7854 |
| 105 and 84 | 420 |
| 124 and 130 | 8060 |
| 67 and 165 | 11055 |
| 196 and 94 | 9212 |