Least Common Multiple (LCM) of 162 and 111
The least common multiple (LCM) of 162 and 111 is 5994.
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 111?
First, calculate the GCD of 162 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 111 = 1 remainder 51 |
| 2 | 111 ÷ 51 = 2 remainder 9 |
| 3 | 51 ÷ 9 = 5 remainder 6 |
| 4 | 9 ÷ 6 = 1 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 132 | 15708 |
| 82 and 86 | 3526 |
| 34 and 28 | 476 |
| 158 and 148 | 11692 |
| 188 and 156 | 7332 |