Least Common Multiple (LCM) of 190 and 146
The least common multiple (LCM) of 190 and 146 is 13870.
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 146?
First, calculate the GCD of 190 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 146 = 1 remainder 44 |
| 2 | 146 ÷ 44 = 3 remainder 14 |
| 3 | 44 ÷ 14 = 3 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 140 | 3080 |
| 30 and 68 | 1020 |
| 108 and 190 | 10260 |
| 154 and 52 | 4004 |
| 69 and 138 | 138 |