Least Common Multiple (LCM) of 64 and 121
The least common multiple (LCM) of 64 and 121 is 7744.
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 121?
First, calculate the GCD of 64 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 121 = 0 remainder 64 |
| 2 | 121 ÷ 64 = 1 remainder 57 |
| 3 | 64 ÷ 57 = 1 remainder 7 |
| 4 | 57 ÷ 7 = 8 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 38 | 3192 |
| 82 and 29 | 2378 |
| 68 and 169 | 11492 |
| 175 and 197 | 34475 |
| 113 and 110 | 12430 |