Least Common Multiple (LCM) of 28 and 138
The least common multiple (LCM) of 28 and 138 is 1932.
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 28 and 138?
First, calculate the GCD of 28 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 138 = 0 remainder 28 |
| 2 | 138 ÷ 28 = 4 remainder 26 |
| 3 | 28 ÷ 26 = 1 remainder 2 |
| 4 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 11 | 1518 |
| 21 and 145 | 3045 |
| 17 and 36 | 612 |
| 55 and 103 | 5665 |
| 129 and 79 | 10191 |