Least Common Multiple (LCM) of 95 and 104
The least common multiple (LCM) of 95 and 104 is 9880.
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 104?
First, calculate the GCD of 95 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 104 = 0 remainder 95 |
| 2 | 104 ÷ 95 = 1 remainder 9 |
| 3 | 95 ÷ 9 = 10 remainder 5 |
| 4 | 9 ÷ 5 = 1 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 36 | 1440 |
| 176 and 43 | 7568 |
| 129 and 70 | 9030 |
| 160 and 178 | 14240 |
| 163 and 30 | 4890 |