Least Common Multiple (LCM) of 187 and 189
The least common multiple (LCM) of 187 and 189 is 35343.
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 189?
First, calculate the GCD of 187 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 189 = 0 remainder 187 |
| 2 | 189 ÷ 187 = 1 remainder 2 |
| 3 | 187 ÷ 2 = 93 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 70 | 1120 |
| 167 and 87 | 14529 |
| 101 and 42 | 4242 |
| 180 and 148 | 6660 |
| 162 and 110 | 8910 |