Least Common Multiple (LCM) of 140 and 139
The least common multiple (LCM) of 140 and 139 is 19460.
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 139?
First, calculate the GCD of 140 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 139 = 1 remainder 1 |
| 2 | 139 ÷ 1 = 139 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 99 | 990 |
| 70 and 69 | 4830 |
| 46 and 31 | 1426 |
| 16 and 146 | 1168 |
| 42 and 45 | 630 |