Least Common Multiple (LCM) of 70 and 190
The least common multiple (LCM) of 70 and 190 is 1330.
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 190?
First, calculate the GCD of 70 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 190 = 0 remainder 70 |
| 2 | 190 ÷ 70 = 2 remainder 50 |
| 3 | 70 ÷ 50 = 1 remainder 20 |
| 4 | 50 ÷ 20 = 2 remainder 10 |
| 5 | 20 ÷ 10 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 78 | 2730 |
| 33 and 179 | 5907 |
| 169 and 56 | 9464 |
| 105 and 103 | 10815 |
| 165 and 77 | 1155 |