Least Common Multiple (LCM) of 149 and 104
The least common multiple (LCM) of 149 and 104 is 15496.
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 149 and 104?
First, calculate the GCD of 149 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 104 = 1 remainder 45 |
| 2 | 104 ÷ 45 = 2 remainder 14 |
| 3 | 45 ÷ 14 = 3 remainder 3 |
| 4 | 14 ÷ 3 = 4 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 76 | 4636 |
| 126 and 130 | 8190 |
| 70 and 124 | 4340 |
| 84 and 13 | 1092 |
| 186 and 13 | 2418 |