Least Common Multiple (LCM) of 119 and 104
The least common multiple (LCM) of 119 and 104 is 12376.
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 119 and 104?
First, calculate the GCD of 119 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 104 = 1 remainder 15 |
| 2 | 104 ÷ 15 = 6 remainder 14 |
| 3 | 15 ÷ 14 = 1 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 131 | 6812 |
| 69 and 91 | 6279 |
| 124 and 134 | 8308 |
| 153 and 118 | 18054 |
| 142 and 24 | 1704 |