Least Common Multiple (LCM) of 24 and 104
The least common multiple (LCM) of 24 and 104 is 312.
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 24 and 104?
First, calculate the GCD of 24 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 104 = 0 remainder 24 |
| 2 | 104 ÷ 24 = 4 remainder 8 |
| 3 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 60 | 1020 |
| 157 and 67 | 10519 |
| 14 and 75 | 1050 |
| 151 and 27 | 4077 |
| 170 and 76 | 6460 |