Least Common Multiple (LCM) of 94 and 149
The least common multiple (LCM) of 94 and 149 is 14006.
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 94 and 149?
First, calculate the GCD of 94 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 149 = 0 remainder 94 |
| 2 | 149 ÷ 94 = 1 remainder 55 |
| 3 | 94 ÷ 55 = 1 remainder 39 |
| 4 | 55 ÷ 39 = 1 remainder 16 |
| 5 | 39 ÷ 16 = 2 remainder 7 |
| 6 | 16 ÷ 7 = 2 remainder 2 |
| 7 | 7 ÷ 2 = 3 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 124 | 4092 |
| 14 and 30 | 210 |
| 81 and 86 | 6966 |
| 155 and 22 | 3410 |
| 77 and 171 | 13167 |