Least Common Multiple (LCM) of 140 and 16
The least common multiple (LCM) of 140 and 16 is 560.
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 16?
First, calculate the GCD of 140 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 16 = 8 remainder 12 |
| 2 | 16 ÷ 12 = 1 remainder 4 |
| 3 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 57 | 3135 |
| 184 and 89 | 16376 |
| 158 and 163 | 25754 |
| 61 and 168 | 10248 |
| 113 and 83 | 9379 |