Least Common Multiple (LCM) of 95 and 25
The least common multiple (LCM) of 95 and 25 is 475.
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 95 and 25?
First, calculate the GCD of 95 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 25 = 3 remainder 20 |
| 2 | 25 ÷ 20 = 1 remainder 5 |
| 3 | 20 ÷ 5 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 112 | 6608 |
| 50 and 184 | 4600 |
| 74 and 44 | 1628 |
| 192 and 171 | 10944 |
| 110 and 131 | 14410 |