Least Common Multiple (LCM) of 138 and 27
The least common multiple (LCM) of 138 and 27 is 1242.
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 138 and 27?
First, calculate the GCD of 138 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 27 = 5 remainder 3 |
| 2 | 27 ÷ 3 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 94 | 12314 |
| 68 and 171 | 11628 |
| 123 and 192 | 7872 |
| 144 and 69 | 3312 |
| 160 and 199 | 31840 |