Least Common Multiple (LCM) of 186 and 150
The least common multiple (LCM) of 186 and 150 is 4650.
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 186 and 150?
First, calculate the GCD of 186 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 150 = 1 remainder 36 |
| 2 | 150 ÷ 36 = 4 remainder 6 |
| 3 | 36 ÷ 6 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 30 | 930 |
| 41 and 90 | 3690 |
| 107 and 54 | 5778 |
| 94 and 105 | 9870 |
| 161 and 32 | 5152 |