Least Common Multiple (LCM) of 23 and 103
The least common multiple (LCM) of 23 and 103 is 2369.
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 103?
First, calculate the GCD of 23 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 23 ÷ 103 = 0 remainder 23 |
| 2 | 103 ÷ 23 = 4 remainder 11 |
| 3 | 23 ÷ 11 = 2 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 27 | 4428 |
| 124 and 94 | 5828 |
| 79 and 69 | 5451 |
| 120 and 44 | 1320 |
| 59 and 14 | 826 |