Least Common Multiple (LCM) of 175 and 139
The least common multiple (LCM) of 175 and 139 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 175 and 139?
First, calculate the GCD of 175 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 139 = 1 remainder 36 |
| 2 | 139 ÷ 36 = 3 remainder 31 |
| 3 | 36 ÷ 31 = 1 remainder 5 |
| 4 | 31 ÷ 5 = 6 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 197 | 13987 |
| 139 and 20 | 2780 |
| 101 and 198 | 19998 |
| 97 and 147 | 14259 |
| 72 and 168 | 504 |