Least Common Multiple (LCM) of 138 and 64
The least common multiple (LCM) of 138 and 64 is 4416.
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 64?
First, calculate the GCD of 138 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 64 = 2 remainder 10 |
| 2 | 64 ÷ 10 = 6 remainder 4 |
| 3 | 10 ÷ 4 = 2 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 175 | 31325 |
| 27 and 148 | 3996 |
| 105 and 14 | 210 |
| 193 and 28 | 5404 |
| 28 and 168 | 168 |