Least Common Multiple (LCM) of 175 and 119
The least common multiple (LCM) of 175 and 119 is 2975.
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 119?
First, calculate the GCD of 175 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 119 = 1 remainder 56 |
| 2 | 119 ÷ 56 = 2 remainder 7 |
| 3 | 56 ÷ 7 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 197 | 19109 |
| 193 and 164 | 31652 |
| 163 and 81 | 13203 |
| 89 and 65 | 5785 |
| 123 and 99 | 4059 |