Least Common Multiple (LCM) of 18 and 73
The least common multiple (LCM) of 18 and 73 is 1314.
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 18 and 73?
First, calculate the GCD of 18 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 18 ÷ 73 = 0 remainder 18 |
| 2 | 73 ÷ 18 = 4 remainder 1 |
| 3 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 145 | 3480 |
| 187 and 82 | 15334 |
| 150 and 125 | 750 |
| 107 and 20 | 2140 |
| 160 and 174 | 13920 |