Least Common Multiple (LCM) of 150 and 188
The least common multiple (LCM) of 150 and 188 is 14100.
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 188?
First, calculate the GCD of 150 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 188 = 0 remainder 150 |
| 2 | 188 ÷ 150 = 1 remainder 38 |
| 3 | 150 ÷ 38 = 3 remainder 36 |
| 4 | 38 ÷ 36 = 1 remainder 2 |
| 5 | 36 ÷ 2 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 142 | 19738 |
| 134 and 176 | 11792 |
| 45 and 77 | 3465 |
| 101 and 187 | 18887 |
| 166 and 51 | 8466 |