Least Common Multiple (LCM) of 64 and 56
The least common multiple (LCM) of 64 and 56 is 448.
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 56?
First, calculate the GCD of 64 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 56 = 1 remainder 8 |
| 2 | 56 ÷ 8 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 172 | 6364 |
| 129 and 78 | 3354 |
| 124 and 72 | 2232 |
| 135 and 63 | 945 |
| 153 and 52 | 7956 |