Least Common Multiple (LCM) of 145 and 98
The least common multiple (LCM) of 145 and 98 is 14210.
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 145 and 98?
First, calculate the GCD of 145 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 98 = 1 remainder 47 |
| 2 | 98 ÷ 47 = 2 remainder 4 |
| 3 | 47 ÷ 4 = 11 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 49 | 588 |
| 193 and 107 | 20651 |
| 126 and 70 | 630 |
| 116 and 56 | 1624 |
| 139 and 80 | 11120 |