Least Common Multiple (LCM) of 190 and 154
The least common multiple (LCM) of 190 and 154 is 14630.
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 154?
First, calculate the GCD of 190 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 154 = 1 remainder 36 |
| 2 | 154 ÷ 36 = 4 remainder 10 |
| 3 | 36 ÷ 10 = 3 remainder 6 |
| 4 | 10 ÷ 6 = 1 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 78 | 4602 |
| 193 and 153 | 29529 |
| 77 and 194 | 14938 |
| 140 and 171 | 23940 |
| 67 and 15 | 1005 |