Least Common Multiple (LCM) of 188 and 170
The least common multiple (LCM) of 188 and 170 is 15980.
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 170?
First, calculate the GCD of 188 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 170 = 1 remainder 18 |
| 2 | 170 ÷ 18 = 9 remainder 8 |
| 3 | 18 ÷ 8 = 2 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 124 | 5208 |
| 147 and 85 | 12495 |
| 176 and 18 | 1584 |
| 152 and 118 | 8968 |
| 118 and 194 | 11446 |