Least Common Multiple (LCM) of 16 and 139
The least common multiple (LCM) of 16 and 139 is 2224.
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 139?
First, calculate the GCD of 16 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 16 ÷ 139 = 0 remainder 16 |
| 2 | 139 ÷ 16 = 8 remainder 11 |
| 3 | 16 ÷ 11 = 1 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 87 | 4263 |
| 65 and 26 | 130 |
| 199 and 31 | 6169 |
| 128 and 75 | 9600 |
| 60 and 108 | 540 |