Least Common Multiple (LCM) of 23 and 95
The least common multiple (LCM) of 23 and 95 is 2185.
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 23 and 95?
First, calculate the GCD of 23 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 23 ÷ 95 = 0 remainder 23 |
| 2 | 95 ÷ 23 = 4 remainder 3 |
| 3 | 23 ÷ 3 = 7 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 87 | 16008 |
| 123 and 163 | 20049 |
| 39 and 125 | 4875 |
| 107 and 151 | 16157 |
| 101 and 70 | 7070 |