Least Common Multiple (LCM) of 188 and 63
The least common multiple (LCM) of 188 and 63 is 11844.
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 63?
First, calculate the GCD of 188 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 63 = 2 remainder 62 |
| 2 | 63 ÷ 62 = 1 remainder 1 |
| 3 | 62 ÷ 1 = 62 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 149 | 4917 |
| 113 and 171 | 19323 |
| 29 and 74 | 2146 |
| 118 and 138 | 8142 |
| 80 and 34 | 1360 |