Least Common Multiple (LCM) of 27 and 149
The least common multiple (LCM) of 27 and 149 is 4023.
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 149?
First, calculate the GCD of 27 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 27 ÷ 149 = 0 remainder 27 |
| 2 | 149 ÷ 27 = 5 remainder 14 |
| 3 | 27 ÷ 14 = 1 remainder 13 |
| 4 | 14 ÷ 13 = 1 remainder 1 |
| 5 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 59 | 590 |
| 141 and 125 | 17625 |
| 21 and 132 | 924 |
| 60 and 182 | 5460 |
| 109 and 191 | 20819 |