Least Common Multiple (LCM) of 163 and 150
The least common multiple (LCM) of 163 and 150 is 24450.
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 163 and 150?
First, calculate the GCD of 163 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 150 = 1 remainder 13 |
| 2 | 150 ÷ 13 = 11 remainder 7 |
| 3 | 13 ÷ 7 = 1 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 177 | 11859 |
| 162 and 181 | 29322 |
| 33 and 196 | 6468 |
| 107 and 74 | 7918 |
| 145 and 104 | 15080 |