Least Common Multiple (LCM) of 104 and 137
The least common multiple (LCM) of 104 and 137 is 14248.
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 137?
First, calculate the GCD of 104 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 137 = 0 remainder 104 |
| 2 | 137 ÷ 104 = 1 remainder 33 |
| 3 | 104 ÷ 33 = 3 remainder 5 |
| 4 | 33 ÷ 5 = 6 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 44 | 2860 |
| 99 and 78 | 2574 |
| 158 and 70 | 5530 |
| 139 and 74 | 10286 |
| 87 and 63 | 1827 |