Least Common Multiple (LCM) of 175 and 90
The least common multiple (LCM) of 175 and 90 is 3150.
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 90?
First, calculate the GCD of 175 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 90 = 1 remainder 85 |
| 2 | 90 ÷ 85 = 1 remainder 5 |
| 3 | 85 ÷ 5 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 98 | 1666 |
| 164 and 96 | 3936 |
| 37 and 38 | 1406 |
| 144 and 190 | 13680 |
| 53 and 28 | 1484 |