Least Common Multiple (LCM) of 164 and 68
The least common multiple (LCM) of 164 and 68 is 2788.
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 68?
First, calculate the GCD of 164 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 68 = 2 remainder 28 |
| 2 | 68 ÷ 28 = 2 remainder 12 |
| 3 | 28 ÷ 12 = 2 remainder 4 |
| 4 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 164 | 16236 |
| 123 and 120 | 4920 |
| 90 and 73 | 6570 |
| 49 and 130 | 6370 |
| 163 and 27 | 4401 |