Least Common Multiple (LCM) of 188 and 32
The least common multiple (LCM) of 188 and 32 is 1504.
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 32?
First, calculate the GCD of 188 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 32 = 5 remainder 28 |
| 2 | 32 ÷ 28 = 1 remainder 4 |
| 3 | 28 ÷ 4 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 22 | 1254 |
| 11 and 120 | 1320 |
| 85 and 119 | 595 |
| 51 and 25 | 1275 |
| 70 and 97 | 6790 |