Least Common Multiple (LCM) of 154 and 190
The least common multiple (LCM) of 154 and 190 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 154 and 190?
First, calculate the GCD of 154 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 190 = 0 remainder 154 |
| 2 | 190 ÷ 154 = 1 remainder 36 |
| 3 | 154 ÷ 36 = 4 remainder 10 |
| 4 | 36 ÷ 10 = 3 remainder 6 |
| 5 | 10 ÷ 6 = 1 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 193 | 5983 |
| 110 and 46 | 2530 |
| 110 and 22 | 110 |
| 185 and 137 | 25345 |
| 107 and 114 | 12198 |