Least Common Multiple (LCM) of 118 and 175
The least common multiple (LCM) of 118 and 175 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 118 and 175?
First, calculate the GCD of 118 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 175 = 0 remainder 118 |
| 2 | 175 ÷ 118 = 1 remainder 57 |
| 3 | 118 ÷ 57 = 2 remainder 4 |
| 4 | 57 ÷ 4 = 14 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 84 | 4200 |
| 61 and 96 | 5856 |
| 129 and 18 | 774 |
| 135 and 72 | 1080 |
| 31 and 27 | 837 |