Least Common Multiple (LCM) of 67 and 70
The least common multiple (LCM) of 67 and 70 is 4690.
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 67 and 70?
First, calculate the GCD of 67 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 67 ÷ 70 = 0 remainder 67 |
| 2 | 70 ÷ 67 = 1 remainder 3 |
| 3 | 67 ÷ 3 = 22 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 50 | 3150 |
| 191 and 198 | 37818 |
| 90 and 135 | 270 |
| 47 and 100 | 4700 |
| 77 and 22 | 154 |