Least Common Multiple (LCM) of 27 and 62
The least common multiple (LCM) of 27 and 62 is 1674.
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 62?
First, calculate the GCD of 27 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 27 ÷ 62 = 0 remainder 27 |
| 2 | 62 ÷ 27 = 2 remainder 8 |
| 3 | 27 ÷ 8 = 3 remainder 3 |
| 4 | 8 ÷ 3 = 2 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 36 | 2412 |
| 48 and 122 | 2928 |
| 175 and 155 | 5425 |
| 199 and 51 | 10149 |
| 182 and 31 | 5642 |