Least Common Multiple (LCM) of 141 and 188
The least common multiple (LCM) of 141 and 188 is 564.
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 141 and 188?
First, calculate the GCD of 141 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 188 = 0 remainder 141 |
| 2 | 188 ÷ 141 = 1 remainder 47 |
| 3 | 141 ÷ 47 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 159 | 27825 |
| 24 and 130 | 1560 |
| 93 and 83 | 7719 |
| 140 and 108 | 3780 |
| 182 and 31 | 5642 |