Least Common Multiple (LCM) of 194 and 70
The least common multiple (LCM) of 194 and 70 is 6790.
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 194 and 70?
First, calculate the GCD of 194 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 70 = 2 remainder 54 |
| 2 | 70 ÷ 54 = 1 remainder 16 |
| 3 | 54 ÷ 16 = 3 remainder 6 |
| 4 | 16 ÷ 6 = 2 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 157 | 3140 |
| 62 and 102 | 3162 |
| 193 and 163 | 31459 |
| 126 and 200 | 12600 |
| 168 and 163 | 27384 |