Least Common Multiple (LCM) of 187 and 168
The least common multiple (LCM) of 187 and 168 is 31416.
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 187 and 168?
First, calculate the GCD of 187 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 168 = 1 remainder 19 |
| 2 | 168 ÷ 19 = 8 remainder 16 |
| 3 | 19 ÷ 16 = 1 remainder 3 |
| 4 | 16 ÷ 3 = 5 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 84 | 9660 |
| 180 and 156 | 2340 |
| 97 and 110 | 10670 |
| 165 and 151 | 24915 |
| 74 and 194 | 7178 |