Least Common Multiple (LCM) of 96 and 139
The least common multiple (LCM) of 96 and 139 is 13344.
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 96 and 139?
First, calculate the GCD of 96 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 139 = 0 remainder 96 |
| 2 | 139 ÷ 96 = 1 remainder 43 |
| 3 | 96 ÷ 43 = 2 remainder 10 |
| 4 | 43 ÷ 10 = 4 remainder 3 |
| 5 | 10 ÷ 3 = 3 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 96 and 21 | 672 |
| 172 and 47 | 8084 |
| 146 and 200 | 14600 |
| 187 and 176 | 2992 |
| 161 and 78 | 12558 |