Least Common Multiple (LCM) of 164 and 175
The least common multiple (LCM) of 164 and 175 is 28700.
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 164 and 175?
First, calculate the GCD of 164 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 175 = 0 remainder 164 |
| 2 | 175 ÷ 164 = 1 remainder 11 |
| 3 | 164 ÷ 11 = 14 remainder 10 |
| 4 | 11 ÷ 10 = 1 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 11 | 550 |
| 172 and 85 | 14620 |
| 72 and 101 | 7272 |
| 74 and 169 | 12506 |
| 147 and 176 | 25872 |