Least Common Multiple (LCM) of 25 and 77
The least common multiple (LCM) of 25 and 77 is 1925.
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 25 and 77?
First, calculate the GCD of 25 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 25 ÷ 77 = 0 remainder 25 |
| 2 | 77 ÷ 25 = 3 remainder 2 |
| 3 | 25 ÷ 2 = 12 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 110 | 19910 |
| 142 and 12 | 852 |
| 200 and 134 | 13400 |
| 115 and 173 | 19895 |
| 96 and 153 | 4896 |