Least Common Multiple (LCM) of 77 and 53
The least common multiple (LCM) of 77 and 53 is 4081.
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 53?
First, calculate the GCD of 77 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 77 ÷ 53 = 1 remainder 24 |
| 2 | 53 ÷ 24 = 2 remainder 5 |
| 3 | 24 ÷ 5 = 4 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 12 | 588 |
| 168 and 153 | 8568 |
| 132 and 55 | 660 |
| 197 and 120 | 23640 |
| 200 and 94 | 9400 |