Least Common Multiple (LCM) of 104 and 118
The least common multiple (LCM) of 104 and 118 is 6136.
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 118?
First, calculate the GCD of 104 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 118 = 0 remainder 104 |
| 2 | 118 ÷ 104 = 1 remainder 14 |
| 3 | 104 ÷ 14 = 7 remainder 6 |
| 4 | 14 ÷ 6 = 2 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 31 | 3813 |
| 29 and 113 | 3277 |
| 47 and 157 | 7379 |
| 126 and 14 | 126 |
| 71 and 132 | 9372 |