Least Common Multiple (LCM) of 145 and 66
The least common multiple (LCM) of 145 and 66 is 9570.
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 145 and 66?
First, calculate the GCD of 145 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 66 = 2 remainder 13 |
| 2 | 66 ÷ 13 = 5 remainder 1 |
| 3 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 143 | 2145 |
| 85 and 117 | 9945 |
| 164 and 102 | 8364 |
| 140 and 183 | 25620 |
| 53 and 110 | 5830 |