Least Common Multiple (LCM) of 190 and 95
The least common multiple (LCM) of 190 and 95 is 190.
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 95?
First, calculate the GCD of 190 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 95 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 29 | 4321 |
| 170 and 197 | 33490 |
| 36 and 24 | 72 |
| 164 and 35 | 5740 |
| 192 and 115 | 22080 |