
Least Common Multiple (LCM) of 177 and 175
The least common multiple (LCM) of 177 and 175 is 30975.
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 177 and 175?
First, calculate the GCD of 177 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 177 ÷ 175 = 1 remainder 2 |
2 | 175 ÷ 2 = 87 remainder 1 |
3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
164 and 162 | 13284 |
190 and 50 | 950 |
175 and 194 | 33950 |
37 and 58 | 2146 |
48 and 65 | 3120 |