Least Common Multiple (LCM) of 104 and 95
The least common multiple (LCM) of 104 and 95 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 104 and 95?
First, calculate the GCD of 104 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 95 = 1 remainder 9 |
| 2 | 95 ÷ 9 = 10 remainder 5 |
| 3 | 9 ÷ 5 = 1 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 124 | 5084 |
| 34 and 10 | 170 |
| 149 and 31 | 4619 |
| 50 and 115 | 1150 |
| 24 and 52 | 312 |