Least Common Multiple (LCM) of 164 and 150
The least common multiple (LCM) of 164 and 150 is 12300.
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 150?
First, calculate the GCD of 164 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 150 = 1 remainder 14 |
| 2 | 150 ÷ 14 = 10 remainder 10 |
| 3 | 14 ÷ 10 = 1 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 111 | 15762 |
| 158 and 85 | 13430 |
| 161 and 44 | 7084 |
| 151 and 182 | 27482 |
| 168 and 122 | 10248 |