Least Common Multiple (LCM) of 145 and 174
The least common multiple (LCM) of 145 and 174 is 870.
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 145 and 174?
First, calculate the GCD of 145 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 174 = 0 remainder 145 |
| 2 | 174 ÷ 145 = 1 remainder 29 |
| 3 | 145 ÷ 29 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 24 | 552 |
| 21 and 200 | 4200 |
| 85 and 14 | 1190 |
| 10 and 31 | 310 |
| 110 and 27 | 2970 |