Least Common Multiple (LCM) of 147 and 165
The least common multiple (LCM) of 147 and 165 is 8085.
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 147 and 165?
First, calculate the GCD of 147 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 165 = 0 remainder 147 |
| 2 | 165 ÷ 147 = 1 remainder 18 |
| 3 | 147 ÷ 18 = 8 remainder 3 |
| 4 | 18 ÷ 3 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 42 | 1974 |
| 145 and 147 | 21315 |
| 54 and 51 | 918 |
| 53 and 11 | 583 |
| 182 and 88 | 8008 |