Least Common Multiple (LCM) of 188 and 140
The least common multiple (LCM) of 188 and 140 is 6580.
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 140?
First, calculate the GCD of 188 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 140 = 1 remainder 48 |
| 2 | 140 ÷ 48 = 2 remainder 44 |
| 3 | 48 ÷ 44 = 1 remainder 4 |
| 4 | 44 ÷ 4 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 160 | 4000 |
| 62 and 38 | 1178 |
| 13 and 153 | 1989 |
| 169 and 65 | 845 |
| 85 and 150 | 2550 |