Least Common Multiple (LCM) of 175 and 85
The least common multiple (LCM) of 175 and 85 is 2975.
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 85?
First, calculate the GCD of 175 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 85 = 2 remainder 5 |
| 2 | 85 ÷ 5 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 78 | 6630 |
| 138 and 118 | 8142 |
| 20 and 51 | 1020 |
| 14 and 58 | 406 |
| 95 and 184 | 17480 |