Least Common Multiple (LCM) of 70 and 191
The least common multiple (LCM) of 70 and 191 is 13370.
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 70 and 191?
First, calculate the GCD of 70 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 191 = 0 remainder 70 |
| 2 | 191 ÷ 70 = 2 remainder 51 |
| 3 | 70 ÷ 51 = 1 remainder 19 |
| 4 | 51 ÷ 19 = 2 remainder 13 |
| 5 | 19 ÷ 13 = 1 remainder 6 |
| 6 | 13 ÷ 6 = 2 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 35 | 6265 |
| 22 and 66 | 66 |
| 133 and 138 | 18354 |
| 162 and 25 | 4050 |
| 171 and 46 | 7866 |