Least Common Multiple (LCM) of 93 and 155
The least common multiple (LCM) of 93 and 155 is 465.
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 93 and 155?
First, calculate the GCD of 93 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 155 = 0 remainder 93 |
| 2 | 155 ÷ 93 = 1 remainder 62 |
| 3 | 93 ÷ 62 = 1 remainder 31 |
| 4 | 62 ÷ 31 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 38 | 6042 |
| 118 and 37 | 4366 |
| 46 and 27 | 1242 |
| 189 and 185 | 34965 |
| 164 and 34 | 2788 |