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 |
|---|---|
| 109 and 185 | 20165 |
| 144 and 50 | 3600 |
| 138 and 33 | 1518 |
| 50 and 51 | 2550 |
| 64 and 60 | 960 |