Least Common Multiple (LCM) of 150 and 190
The least common multiple (LCM) of 150 and 190 is 2850.
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 190?
First, calculate the GCD of 150 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 190 = 0 remainder 150 |
| 2 | 190 ÷ 150 = 1 remainder 40 |
| 3 | 150 ÷ 40 = 3 remainder 30 |
| 4 | 40 ÷ 30 = 1 remainder 10 |
| 5 | 30 ÷ 10 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 163 | 6357 |
| 15 and 188 | 2820 |
| 144 and 106 | 7632 |
| 91 and 88 | 8008 |
| 10 and 174 | 870 |