Least Common Multiple (LCM) of 188 and 141
The least common multiple (LCM) of 188 and 141 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 188 and 141?
First, calculate the GCD of 188 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 141 = 1 remainder 47 |
| 2 | 141 ÷ 47 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 123 | 6765 |
| 59 and 63 | 3717 |
| 87 and 101 | 8787 |
| 130 and 97 | 12610 |
| 20 and 194 | 1940 |