Least Common Multiple (LCM) of 188 and 149
The least common multiple (LCM) of 188 and 149 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 188 and 149?
First, calculate the GCD of 188 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 149 = 1 remainder 39 |
| 2 | 149 ÷ 39 = 3 remainder 32 |
| 3 | 39 ÷ 32 = 1 remainder 7 |
| 4 | 32 ÷ 7 = 4 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 128 | 10624 |
| 73 and 129 | 9417 |
| 185 and 140 | 5180 |
| 200 and 180 | 1800 |
| 176 and 62 | 5456 |