Least Common Multiple (LCM) of 138 and 162
The least common multiple (LCM) of 138 and 162 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 138 and 162?
First, calculate the GCD of 138 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 162 = 0 remainder 138 |
| 2 | 162 ÷ 138 = 1 remainder 24 |
| 3 | 138 ÷ 24 = 5 remainder 18 |
| 4 | 24 ÷ 18 = 1 remainder 6 |
| 5 | 18 ÷ 6 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 158 | 11692 |
| 70 and 174 | 6090 |
| 126 and 99 | 1386 |
| 164 and 198 | 16236 |
| 47 and 28 | 1316 |