Least Common Multiple (LCM) of 93 and 104
The least common multiple (LCM) of 93 and 104 is 9672.
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 93 and 104?
First, calculate the GCD of 93 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 104 = 0 remainder 93 |
| 2 | 104 ÷ 93 = 1 remainder 11 |
| 3 | 93 ÷ 11 = 8 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 47 | 5311 |
| 35 and 118 | 4130 |
| 26 and 119 | 3094 |
| 80 and 13 | 1040 |
| 131 and 95 | 12445 |