Least Common Multiple (LCM) of 104 and 60
The least common multiple (LCM) of 104 and 60 is 1560.
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 60?
First, calculate the GCD of 104 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 60 = 1 remainder 44 |
| 2 | 60 ÷ 44 = 1 remainder 16 |
| 3 | 44 ÷ 16 = 2 remainder 12 |
| 4 | 16 ÷ 12 = 1 remainder 4 |
| 5 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 32 | 3808 |
| 192 and 183 | 11712 |
| 127 and 149 | 18923 |
| 107 and 126 | 13482 |
| 142 and 11 | 1562 |