Least Common Multiple (LCM) of 73 and 104
The least common multiple (LCM) of 73 and 104 is 7592.
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 73 and 104?
First, calculate the GCD of 73 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 104 = 0 remainder 73 |
| 2 | 104 ÷ 73 = 1 remainder 31 |
| 3 | 73 ÷ 31 = 2 remainder 11 |
| 4 | 31 ÷ 11 = 2 remainder 9 |
| 5 | 11 ÷ 9 = 1 remainder 2 |
| 6 | 9 ÷ 2 = 4 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 162 | 21222 |
| 46 and 160 | 3680 |
| 44 and 148 | 1628 |
| 76 and 53 | 4028 |
| 185 and 96 | 17760 |