Least Common Multiple (LCM) of 139 and 27
The least common multiple (LCM) of 139 and 27 is 3753.
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 139 and 27?
First, calculate the GCD of 139 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 27 = 5 remainder 4 |
| 2 | 27 ÷ 4 = 6 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 132 | 132 |
| 200 and 97 | 19400 |
| 142 and 88 | 6248 |
| 189 and 128 | 24192 |
| 163 and 31 | 5053 |