Least Common Multiple (LCM) of 162 and 87
The least common multiple (LCM) of 162 and 87 is 4698.
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 87?
First, calculate the GCD of 162 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 87 = 1 remainder 75 |
| 2 | 87 ÷ 75 = 1 remainder 12 |
| 3 | 75 ÷ 12 = 6 remainder 3 |
| 4 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 12 | 756 |
| 49 and 148 | 7252 |
| 108 and 71 | 7668 |
| 75 and 145 | 2175 |
| 47 and 95 | 4465 |