Least Common Multiple (LCM) of 188 and 147
The least common multiple (LCM) of 188 and 147 is 27636.
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 147?
First, calculate the GCD of 188 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 147 = 1 remainder 41 |
| 2 | 147 ÷ 41 = 3 remainder 24 |
| 3 | 41 ÷ 24 = 1 remainder 17 |
| 4 | 24 ÷ 17 = 1 remainder 7 |
| 5 | 17 ÷ 7 = 2 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 42 | 630 |
| 171 and 174 | 9918 |
| 172 and 195 | 33540 |
| 189 and 90 | 1890 |
| 46 and 131 | 6026 |