Least Common Multiple (LCM) of 188 and 130
The least common multiple (LCM) of 188 and 130 is 12220.
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 130?
First, calculate the GCD of 188 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 130 = 1 remainder 58 |
| 2 | 130 ÷ 58 = 2 remainder 14 |
| 3 | 58 ÷ 14 = 4 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 162 | 12960 |
| 144 and 169 | 24336 |
| 169 and 184 | 31096 |
| 188 and 178 | 16732 |
| 129 and 105 | 4515 |