Least Common Multiple (LCM) of 155 and 93
The least common multiple (LCM) of 155 and 93 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 155 and 93?
First, calculate the GCD of 155 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 93 = 1 remainder 62 |
| 2 | 93 ÷ 62 = 1 remainder 31 |
| 3 | 62 ÷ 31 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 34 | 2006 |
| 153 and 48 | 2448 |
| 102 and 183 | 6222 |
| 145 and 101 | 14645 |
| 47 and 97 | 4559 |