Least Common Multiple (LCM) of 150 and 187
The least common multiple (LCM) of 150 and 187 is 28050.
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 187?
First, calculate the GCD of 150 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 187 = 0 remainder 150 |
| 2 | 187 ÷ 150 = 1 remainder 37 |
| 3 | 150 ÷ 37 = 4 remainder 2 |
| 4 | 37 ÷ 2 = 18 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 29 | 2117 |
| 137 and 171 | 23427 |
| 174 and 165 | 9570 |
| 98 and 142 | 6958 |
| 177 and 116 | 20532 |