Least Common Multiple (LCM) of 77 and 190
The least common multiple (LCM) of 77 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 77 and 190?
First, calculate the GCD of 77 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 77 ÷ 190 = 0 remainder 77 |
| 2 | 190 ÷ 77 = 2 remainder 36 |
| 3 | 77 ÷ 36 = 2 remainder 5 |
| 4 | 36 ÷ 5 = 7 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 23 | 3864 |
| 135 and 70 | 1890 |
| 104 and 186 | 9672 |
| 15 and 39 | 195 |
| 154 and 32 | 2464 |