Least Common Multiple (LCM) of 146 and 104
The least common multiple (LCM) of 146 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 146 and 104?
First, calculate the GCD of 146 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 104 = 1 remainder 42 |
| 2 | 104 ÷ 42 = 2 remainder 20 |
| 3 | 42 ÷ 20 = 2 remainder 2 |
| 4 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 115 | 18630 |
| 80 and 15 | 240 |
| 96 and 169 | 16224 |
| 187 and 135 | 25245 |
| 192 and 44 | 2112 |