Least Common Multiple (LCM) of 139 and 64
The least common multiple (LCM) of 139 and 64 is 8896.
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 64?
First, calculate the GCD of 139 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 64 = 2 remainder 11 |
| 2 | 64 ÷ 11 = 5 remainder 9 |
| 3 | 11 ÷ 9 = 1 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 66 | 7590 |
| 19 and 182 | 3458 |
| 121 and 91 | 11011 |
| 132 and 74 | 4884 |
| 164 and 176 | 7216 |