Least Common Multiple (LCM) of 190 and 196
The least common multiple (LCM) of 190 and 196 is 18620.
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 196?
First, calculate the GCD of 190 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 196 = 0 remainder 190 |
| 2 | 196 ÷ 190 = 1 remainder 6 |
| 3 | 190 ÷ 6 = 31 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 173 | 6401 |
| 13 and 72 | 936 |
| 119 and 149 | 17731 |
| 106 and 134 | 7102 |
| 29 and 159 | 4611 |