Least Common Multiple (LCM) of 149 and 174
The least common multiple (LCM) of 149 and 174 is 25926.
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 174?
First, calculate the GCD of 149 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 174 = 0 remainder 149 |
| 2 | 174 ÷ 149 = 1 remainder 25 |
| 3 | 149 ÷ 25 = 5 remainder 24 |
| 4 | 25 ÷ 24 = 1 remainder 1 |
| 5 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 12 | 192 |
| 172 and 97 | 16684 |
| 128 and 16 | 128 |
| 65 and 149 | 9685 |
| 115 and 62 | 7130 |