Least Common Multiple (LCM) of 174 and 70
The least common multiple (LCM) of 174 and 70 is 6090.
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 70?
First, calculate the GCD of 174 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 70 = 2 remainder 34 |
| 2 | 70 ÷ 34 = 2 remainder 2 |
| 3 | 34 ÷ 2 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 61 | 11834 |
| 34 and 17 | 34 |
| 175 and 171 | 29925 |
| 191 and 34 | 6494 |
| 137 and 147 | 20139 |