Least Common Multiple (LCM) of 144 and 98
The least common multiple (LCM) of 144 and 98 is 7056.
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 144 and 98?
First, calculate the GCD of 144 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 98 = 1 remainder 46 |
| 2 | 98 ÷ 46 = 2 remainder 6 |
| 3 | 46 ÷ 6 = 7 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 127 | 16383 |
| 12 and 37 | 444 |
| 176 and 58 | 5104 |
| 61 and 66 | 4026 |
| 51 and 133 | 6783 |