Least Common Multiple (LCM) of 75 and 155
The least common multiple (LCM) of 75 and 155 is 2325.
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 75 and 155?
First, calculate the GCD of 75 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 75 ÷ 155 = 0 remainder 75 |
| 2 | 155 ÷ 75 = 2 remainder 5 |
| 3 | 75 ÷ 5 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 28 | 3836 |
| 191 and 171 | 32661 |
| 152 and 48 | 912 |
| 172 and 181 | 31132 |
| 128 and 188 | 6016 |