Least Common Multiple (LCM) of 138 and 25
The least common multiple (LCM) of 138 and 25 is 3450.
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 25?
First, calculate the GCD of 138 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 25 = 5 remainder 13 |
| 2 | 25 ÷ 13 = 1 remainder 12 |
| 3 | 13 ÷ 12 = 1 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 122 | 10858 |
| 186 and 54 | 1674 |
| 116 and 133 | 15428 |
| 34 and 160 | 2720 |
| 145 and 189 | 27405 |