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 |
|---|---|
| 179 and 80 | 14320 |
| 182 and 96 | 8736 |
| 167 and 38 | 6346 |
| 52 and 167 | 8684 |
| 153 and 44 | 6732 |