Least Common Multiple (LCM) of 104 and 35
The least common multiple (LCM) of 104 and 35 is 3640.
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 35?
First, calculate the GCD of 104 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 35 = 2 remainder 34 |
| 2 | 35 ÷ 34 = 1 remainder 1 |
| 3 | 34 ÷ 1 = 34 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 153 | 24021 |
| 157 and 47 | 7379 |
| 169 and 68 | 11492 |
| 10 and 12 | 60 |
| 155 and 130 | 4030 |