Least Common Multiple (LCM) of 104 and 153
The least common multiple (LCM) of 104 and 153 is 15912.
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 153?
First, calculate the GCD of 104 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 153 = 0 remainder 104 |
| 2 | 153 ÷ 104 = 1 remainder 49 |
| 3 | 104 ÷ 49 = 2 remainder 6 |
| 4 | 49 ÷ 6 = 8 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 57 | 3192 |
| 80 and 54 | 2160 |
| 46 and 80 | 1840 |
| 55 and 118 | 6490 |
| 122 and 30 | 1830 |