Least Common Multiple (LCM) of 162 and 138
The least common multiple (LCM) of 162 and 138 is 3726.
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 138?
First, calculate the GCD of 162 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 138 = 1 remainder 24 |
| 2 | 138 ÷ 24 = 5 remainder 18 |
| 3 | 24 ÷ 18 = 1 remainder 6 |
| 4 | 18 ÷ 6 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 59 | 6549 |
| 56 and 110 | 3080 |
| 171 and 164 | 28044 |
| 134 and 17 | 2278 |
| 109 and 166 | 18094 |