Least Common Multiple (LCM) of 175 and 168
The least common multiple (LCM) of 175 and 168 is 4200.
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 168?
First, calculate the GCD of 175 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 168 = 1 remainder 7 |
| 2 | 168 ÷ 7 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 154 | 17402 |
| 80 and 190 | 1520 |
| 103 and 164 | 16892 |
| 170 and 102 | 510 |
| 78 and 99 | 2574 |