Least Common Multiple (LCM) of 138 and 32
The least common multiple (LCM) of 138 and 32 is 2208.
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 32?
First, calculate the GCD of 138 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 32 = 4 remainder 10 |
| 2 | 32 ÷ 10 = 3 remainder 2 |
| 3 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 89 | 11392 |
| 108 and 127 | 13716 |
| 31 and 168 | 5208 |
| 174 and 34 | 2958 |
| 173 and 113 | 19549 |