
Least Common Multiple (LCM) of 175 and 51
The least common multiple (LCM) of 175 and 51 is 8925.
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 51?
First, calculate the GCD of 175 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 175 ÷ 51 = 3 remainder 22 |
2 | 51 ÷ 22 = 2 remainder 7 |
3 | 22 ÷ 7 = 3 remainder 1 |
4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
45 and 60 | 180 |
33 and 171 | 1881 |
76 and 111 | 8436 |
111 and 116 | 12876 |
137 and 32 | 4384 |