Least Common Multiple (LCM) of 77 and 87
The least common multiple (LCM) of 77 and 87 is 6699.
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 77 and 87?
First, calculate the GCD of 77 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 77 ÷ 87 = 0 remainder 77 |
| 2 | 87 ÷ 77 = 1 remainder 10 |
| 3 | 77 ÷ 10 = 7 remainder 7 |
| 4 | 10 ÷ 7 = 1 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 44 | 924 |
| 113 and 38 | 4294 |
| 125 and 141 | 17625 |
| 56 and 56 | 56 |
| 101 and 64 | 6464 |