Least Common Multiple (LCM) of 155 and 75
The least common multiple (LCM) of 155 and 75 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 155 and 75?
First, calculate the GCD of 155 and 75 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 75 = 2 remainder 5 |
| 2 | 75 ÷ 5 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 14 | 350 |
| 137 and 90 | 12330 |
| 88 and 16 | 176 |
| 156 and 39 | 156 |
| 79 and 30 | 2370 |