Least Common Multiple (LCM) of 126 and 164
The least common multiple (LCM) of 126 and 164 is 10332.
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 126 and 164?
First, calculate the GCD of 126 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 164 = 0 remainder 126 |
| 2 | 164 ÷ 126 = 1 remainder 38 |
| 3 | 126 ÷ 38 = 3 remainder 12 |
| 4 | 38 ÷ 12 = 3 remainder 2 |
| 5 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 80 | 5040 |
| 107 and 176 | 18832 |
| 52 and 90 | 2340 |
| 33 and 13 | 429 |
| 191 and 166 | 31706 |