Least Common Multiple (LCM) of 95 and 44
The least common multiple (LCM) of 95 and 44 is 4180.
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 44?
First, calculate the GCD of 95 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 44 = 2 remainder 7 |
| 2 | 44 ÷ 7 = 6 remainder 2 |
| 3 | 7 ÷ 2 = 3 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 30 | 390 |
| 154 and 164 | 12628 |
| 87 and 97 | 8439 |
| 174 and 65 | 11310 |
| 76 and 167 | 12692 |