Least Common Multiple (LCM) of 162 and 63
The least common multiple (LCM) of 162 and 63 is 1134.
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 63?
First, calculate the GCD of 162 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 63 = 2 remainder 36 |
| 2 | 63 ÷ 36 = 1 remainder 27 |
| 3 | 36 ÷ 27 = 1 remainder 9 |
| 4 | 27 ÷ 9 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 104 | 5720 |
| 145 and 91 | 13195 |
| 64 and 108 | 1728 |
| 58 and 54 | 1566 |
| 171 and 178 | 30438 |