Least Common Multiple (LCM) of 180 and 190
The least common multiple (LCM) of 180 and 190 is 3420.
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 180 and 190?
First, calculate the GCD of 180 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 190 = 0 remainder 180 |
| 2 | 190 ÷ 180 = 1 remainder 10 |
| 3 | 180 ÷ 10 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 37 | 6475 |
| 13 and 33 | 429 |
| 179 and 101 | 18079 |
| 25 and 100 | 100 |
| 76 and 102 | 3876 |