Least Common Multiple (LCM) of 140 and 98
The least common multiple (LCM) of 140 and 98 is 980.
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 140 and 98?
First, calculate the GCD of 140 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 98 = 1 remainder 42 |
| 2 | 98 ÷ 42 = 2 remainder 14 |
| 3 | 42 ÷ 14 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 98 | 8820 |
| 12 and 105 | 420 |
| 78 and 55 | 4290 |
| 44 and 24 | 264 |
| 99 and 83 | 8217 |