Least Common Multiple (LCM) of 188 and 172
The least common multiple (LCM) of 188 and 172 is 8084.
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 172?
First, calculate the GCD of 188 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 172 = 1 remainder 16 |
| 2 | 172 ÷ 16 = 10 remainder 12 |
| 3 | 16 ÷ 12 = 1 remainder 4 |
| 4 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 41 | 6765 |
| 29 and 63 | 1827 |
| 184 and 51 | 9384 |
| 70 and 135 | 1890 |
| 161 and 154 | 3542 |