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 |
|---|---|
| 120 and 148 | 4440 |
| 186 and 44 | 4092 |
| 165 and 174 | 9570 |
| 161 and 147 | 3381 |
| 19 and 22 | 418 |