Least Common Multiple (LCM) of 149 and 187
The least common multiple (LCM) of 149 and 187 is 27863.
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 149 and 187?
First, calculate the GCD of 149 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 187 = 0 remainder 149 |
| 2 | 187 ÷ 149 = 1 remainder 38 |
| 3 | 149 ÷ 38 = 3 remainder 35 |
| 4 | 38 ÷ 35 = 1 remainder 3 |
| 5 | 35 ÷ 3 = 11 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 161 | 16744 |
| 87 and 116 | 348 |
| 200 and 145 | 5800 |
| 10 and 97 | 970 |
| 21 and 110 | 2310 |