Least Common Multiple (LCM) of 175 and 88
The least common multiple (LCM) of 175 and 88 is 15400.
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 88?
First, calculate the GCD of 175 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 88 = 1 remainder 87 |
| 2 | 88 ÷ 87 = 1 remainder 1 |
| 3 | 87 ÷ 1 = 87 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 140 | 6580 |
| 133 and 70 | 1330 |
| 199 and 83 | 16517 |
| 16 and 23 | 368 |
| 102 and 140 | 7140 |