Least Common Multiple (LCM) of 138 and 164
The least common multiple (LCM) of 138 and 164 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 138 and 164?
First, calculate the GCD of 138 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 164 = 0 remainder 138 |
| 2 | 164 ÷ 138 = 1 remainder 26 |
| 3 | 138 ÷ 26 = 5 remainder 8 |
| 4 | 26 ÷ 8 = 3 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 164 | 7216 |
| 124 and 150 | 9300 |
| 113 and 43 | 4859 |
| 45 and 82 | 3690 |
| 192 and 131 | 25152 |