Least Common Multiple (LCM) of 164 and 170
The least common multiple (LCM) of 164 and 170 is 13940.
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 164 and 170?
First, calculate the GCD of 164 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 170 = 0 remainder 164 |
| 2 | 170 ÷ 164 = 1 remainder 6 |
| 3 | 164 ÷ 6 = 27 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 19 | 3230 |
| 65 and 143 | 715 |
| 190 and 71 | 13490 |
| 88 and 174 | 7656 |
| 77 and 90 | 6930 |