Least Common Multiple (LCM) of 190 and 73
The least common multiple (LCM) of 190 and 73 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 73?
First, calculate the GCD of 190 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 73 = 2 remainder 44 |
| 2 | 73 ÷ 44 = 1 remainder 29 |
| 3 | 44 ÷ 29 = 1 remainder 15 |
| 4 | 29 ÷ 15 = 1 remainder 14 |
| 5 | 15 ÷ 14 = 1 remainder 1 |
| 6 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 96 and 89 | 8544 |
| 93 and 160 | 14880 |
| 115 and 174 | 20010 |
| 94 and 140 | 6580 |
| 199 and 193 | 38407 |