Least Common Multiple (LCM) of 64 and 42
The least common multiple (LCM) of 64 and 42 is 1344.
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 64 and 42?
First, calculate the GCD of 64 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 42 = 1 remainder 22 |
| 2 | 42 ÷ 22 = 1 remainder 20 |
| 3 | 22 ÷ 20 = 1 remainder 2 |
| 4 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 126 | 1764 |
| 166 and 173 | 28718 |
| 119 and 26 | 3094 |
| 164 and 146 | 11972 |
| 71 and 35 | 2485 |