Least Common Multiple (LCM) of 138 and 55
The least common multiple (LCM) of 138 and 55 is 7590.
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 55?
First, calculate the GCD of 138 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 55 = 2 remainder 28 |
| 2 | 55 ÷ 28 = 1 remainder 27 |
| 3 | 28 ÷ 27 = 1 remainder 1 |
| 4 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 69 | 12075 |
| 153 and 176 | 26928 |
| 152 and 71 | 10792 |
| 186 and 81 | 5022 |
| 157 and 26 | 4082 |