Least Common Multiple (LCM) of 139 and 104
The least common multiple (LCM) of 139 and 104 is 14456.
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 104?
First, calculate the GCD of 139 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 104 = 1 remainder 35 |
| 2 | 104 ÷ 35 = 2 remainder 34 |
| 3 | 35 ÷ 34 = 1 remainder 1 |
| 4 | 34 ÷ 1 = 34 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 85 | 3145 |
| 93 and 20 | 1860 |
| 68 and 39 | 2652 |
| 34 and 61 | 2074 |
| 10 and 20 | 20 |