Least Common Multiple (LCM) of 164 and 176
The least common multiple (LCM) of 164 and 176 is 7216.
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 176?
First, calculate the GCD of 164 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 176 = 0 remainder 164 |
| 2 | 176 ÷ 164 = 1 remainder 12 |
| 3 | 164 ÷ 12 = 13 remainder 8 |
| 4 | 12 ÷ 8 = 1 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 125 | 2000 |
| 40 and 103 | 4120 |
| 32 and 123 | 3936 |
| 180 and 48 | 720 |
| 165 and 138 | 7590 |