Least Common Multiple (LCM) of 39 and 98
The least common multiple (LCM) of 39 and 98 is 3822.
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 39 and 98?
First, calculate the GCD of 39 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 98 = 0 remainder 39 |
| 2 | 98 ÷ 39 = 2 remainder 20 |
| 3 | 39 ÷ 20 = 1 remainder 19 |
| 4 | 20 ÷ 19 = 1 remainder 1 |
| 5 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 105 | 4515 |
| 186 and 135 | 8370 |
| 155 and 15 | 465 |
| 99 and 64 | 6336 |
| 168 and 134 | 11256 |