Least Common Multiple (LCM) of 165 and 70
The least common multiple (LCM) of 165 and 70 is 2310.
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 165 and 70?
First, calculate the GCD of 165 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 70 = 2 remainder 25 |
| 2 | 70 ÷ 25 = 2 remainder 20 |
| 3 | 25 ÷ 20 = 1 remainder 5 |
| 4 | 20 ÷ 5 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 141 | 21855 |
| 65 and 100 | 1300 |
| 114 and 103 | 11742 |
| 42 and 150 | 1050 |
| 35 and 82 | 2870 |