Least Common Multiple (LCM) of 139 and 175
The least common multiple (LCM) of 139 and 175 is 24325.
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 175?
First, calculate the GCD of 139 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 175 = 0 remainder 139 |
| 2 | 175 ÷ 139 = 1 remainder 36 |
| 3 | 139 ÷ 36 = 3 remainder 31 |
| 4 | 36 ÷ 31 = 1 remainder 5 |
| 5 | 31 ÷ 5 = 6 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 15 | 1740 |
| 96 and 40 | 480 |
| 144 and 134 | 9648 |
| 24 and 149 | 3576 |
| 159 and 146 | 23214 |