Least Common Multiple (LCM) of 190 and 118
The least common multiple (LCM) of 190 and 118 is 11210.
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 118?
First, calculate the GCD of 190 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 118 = 1 remainder 72 |
| 2 | 118 ÷ 72 = 1 remainder 46 |
| 3 | 72 ÷ 46 = 1 remainder 26 |
| 4 | 46 ÷ 26 = 1 remainder 20 |
| 5 | 26 ÷ 20 = 1 remainder 6 |
| 6 | 20 ÷ 6 = 3 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 165 | 3795 |
| 98 and 157 | 15386 |
| 195 and 133 | 25935 |
| 66 and 83 | 5478 |
| 56 and 32 | 224 |