Least Common Multiple (LCM) of 175 and 118
The least common multiple (LCM) of 175 and 118 is 20650.
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 118?
First, calculate the GCD of 175 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 118 = 1 remainder 57 |
| 2 | 118 ÷ 57 = 2 remainder 4 |
| 3 | 57 ÷ 4 = 14 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 191 | 37627 |
| 119 and 106 | 12614 |
| 199 and 23 | 4577 |
| 25 and 196 | 4900 |
| 54 and 100 | 2700 |