Least Common Multiple (LCM) of 175 and 155
The least common multiple (LCM) of 175 and 155 is 5425.
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 155?
First, calculate the GCD of 175 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 155 = 1 remainder 20 |
| 2 | 155 ÷ 20 = 7 remainder 15 |
| 3 | 20 ÷ 15 = 1 remainder 5 |
| 4 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 187 | 20757 |
| 131 and 17 | 2227 |
| 190 and 83 | 15770 |
| 31 and 101 | 3131 |
| 165 and 33 | 165 |