Least Common Multiple (LCM) of 149 and 94
The least common multiple (LCM) of 149 and 94 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 149 and 94?
First, calculate the GCD of 149 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 94 = 1 remainder 55 |
| 2 | 94 ÷ 55 = 1 remainder 39 |
| 3 | 55 ÷ 39 = 1 remainder 16 |
| 4 | 39 ÷ 16 = 2 remainder 7 |
| 5 | 16 ÷ 7 = 2 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 149 | 8940 |
| 91 and 162 | 14742 |
| 35 and 79 | 2765 |
| 155 and 78 | 12090 |
| 111 and 197 | 21867 |