Least Common Multiple (LCM) of 27 and 23
The least common multiple (LCM) of 27 and 23 is 621.
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 27 and 23?
First, calculate the GCD of 27 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 27 ÷ 23 = 1 remainder 4 |
| 2 | 23 ÷ 4 = 5 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 146 | 28178 |
| 112 and 180 | 5040 |
| 114 and 161 | 18354 |
| 106 and 11 | 1166 |
| 180 and 58 | 5220 |