Least Common Multiple (LCM) of 139 and 96
The least common multiple (LCM) of 139 and 96 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 139 and 96?
First, calculate the GCD of 139 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 96 = 1 remainder 43 |
| 2 | 96 ÷ 43 = 2 remainder 10 |
| 3 | 43 ÷ 10 = 4 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 80 | 240 |
| 12 and 165 | 660 |
| 102 and 108 | 1836 |
| 146 and 150 | 10950 |
| 132 and 58 | 3828 |