Least Common Multiple (LCM) of 162 and 147
The least common multiple (LCM) of 162 and 147 is 7938.
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 162 and 147?
First, calculate the GCD of 162 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 147 = 1 remainder 15 |
| 2 | 147 ÷ 15 = 9 remainder 12 |
| 3 | 15 ÷ 12 = 1 remainder 3 |
| 4 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 71 | 10295 |
| 80 and 165 | 2640 |
| 10 and 178 | 890 |
| 14 and 82 | 574 |
| 35 and 171 | 5985 |