Least Common Multiple (LCM) of 149 and 188
The least common multiple (LCM) of 149 and 188 is 28012.
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 188?
First, calculate the GCD of 149 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 188 = 0 remainder 149 |
| 2 | 188 ÷ 149 = 1 remainder 39 |
| 3 | 149 ÷ 39 = 3 remainder 32 |
| 4 | 39 ÷ 32 = 1 remainder 7 |
| 5 | 32 ÷ 7 = 4 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 195 | 11505 |
| 57 and 187 | 10659 |
| 20 and 119 | 2380 |
| 55 and 63 | 3465 |
| 76 and 184 | 3496 |