Least Common Multiple (LCM) of 64 and 88
The least common multiple (LCM) of 64 and 88 is 704.
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 88?
First, calculate the GCD of 64 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 88 = 0 remainder 64 |
| 2 | 88 ÷ 64 = 1 remainder 24 |
| 3 | 64 ÷ 24 = 2 remainder 16 |
| 4 | 24 ÷ 16 = 1 remainder 8 |
| 5 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 174 | 1740 |
| 133 and 42 | 798 |
| 189 and 60 | 3780 |
| 46 and 141 | 6486 |
| 160 and 87 | 13920 |