Least Common Multiple (LCM) of 174 and 149
The least common multiple (LCM) of 174 and 149 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 174 and 149?
First, calculate the GCD of 174 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 149 = 1 remainder 25 |
| 2 | 149 ÷ 25 = 5 remainder 24 |
| 3 | 25 ÷ 24 = 1 remainder 1 |
| 4 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 17 | 493 |
| 169 and 43 | 7267 |
| 173 and 59 | 10207 |
| 131 and 111 | 14541 |
| 141 and 68 | 9588 |