Least Common Multiple (LCM) of 164 and 138
The least common multiple (LCM) of 164 and 138 is 11316.
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 164 and 138?
First, calculate the GCD of 164 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 138 = 1 remainder 26 |
| 2 | 138 ÷ 26 = 5 remainder 8 |
| 3 | 26 ÷ 8 = 3 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 52 | 2860 |
| 112 and 28 | 112 |
| 154 and 55 | 770 |
| 13 and 171 | 2223 |
| 42 and 167 | 7014 |