Least Common Multiple (LCM) of 16 and 140
The least common multiple (LCM) of 16 and 140 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 16 and 140?
First, calculate the GCD of 16 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 16 ÷ 140 = 0 remainder 16 |
| 2 | 140 ÷ 16 = 8 remainder 12 |
| 3 | 16 ÷ 12 = 1 remainder 4 |
| 4 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 45 | 1665 |
| 164 and 77 | 12628 |
| 177 and 157 | 27789 |
| 172 and 109 | 18748 |
| 189 and 134 | 25326 |