Least Common Multiple (LCM) of 190 and 36
The least common multiple (LCM) of 190 and 36 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 190 and 36?
First, calculate the GCD of 190 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 36 = 5 remainder 10 |
| 2 | 36 ÷ 10 = 3 remainder 6 |
| 3 | 10 ÷ 6 = 1 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 136 | 19176 |
| 78 and 140 | 5460 |
| 102 and 56 | 2856 |
| 84 and 82 | 3444 |
| 198 and 174 | 5742 |