Least Common Multiple (LCM) of 18 and 71
The least common multiple (LCM) of 18 and 71 is 1278.
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 71?
First, calculate the GCD of 18 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 18 ÷ 71 = 0 remainder 18 |
| 2 | 71 ÷ 18 = 3 remainder 17 |
| 3 | 18 ÷ 17 = 1 remainder 1 |
| 4 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 193 | 29915 |
| 41 and 53 | 2173 |
| 192 and 134 | 12864 |
| 127 and 27 | 3429 |
| 120 and 114 | 2280 |