Least Common Multiple (LCM) of 150 and 163
The least common multiple (LCM) of 150 and 163 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 150 and 163?
First, calculate the GCD of 150 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 163 = 0 remainder 150 |
| 2 | 163 ÷ 150 = 1 remainder 13 |
| 3 | 150 ÷ 13 = 11 remainder 7 |
| 4 | 13 ÷ 7 = 1 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 95 and 130 | 2470 |
| 146 and 102 | 7446 |
| 100 and 20 | 100 |
| 83 and 105 | 8715 |
| 102 and 97 | 9894 |