Least Common Multiple (LCM) of 23 and 73
The least common multiple (LCM) of 23 and 73 is 1679.
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 73?
First, calculate the GCD of 23 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 23 ÷ 73 = 0 remainder 23 |
| 2 | 73 ÷ 23 = 3 remainder 4 |
| 3 | 23 ÷ 4 = 5 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 153 | 24021 |
| 180 and 187 | 33660 |
| 96 and 73 | 7008 |
| 15 and 38 | 570 |
| 123 and 26 | 3198 |