Least Common Multiple (LCM) of 107 and 27
The least common multiple (LCM) of 107 and 27 is 2889.
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 107 and 27?
First, calculate the GCD of 107 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 27 = 3 remainder 26 |
| 2 | 27 ÷ 26 = 1 remainder 1 |
| 3 | 26 ÷ 1 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 47 | 6204 |
| 46 and 45 | 2070 |
| 175 and 37 | 6475 |
| 148 and 166 | 12284 |
| 138 and 139 | 19182 |