Least Common Multiple (LCM) of 64 and 79
The least common multiple (LCM) of 64 and 79 is 5056.
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 79?
First, calculate the GCD of 64 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 79 = 0 remainder 64 |
| 2 | 79 ÷ 64 = 1 remainder 15 |
| 3 | 64 ÷ 15 = 4 remainder 4 |
| 4 | 15 ÷ 4 = 3 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 176 | 22704 |
| 14 and 116 | 812 |
| 36 and 15 | 180 |
| 42 and 67 | 2814 |
| 124 and 143 | 17732 |