Least Common Multiple (LCM) of 190 and 77
The least common multiple (LCM) of 190 and 77 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 190 and 77?
First, calculate the GCD of 190 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 77 = 2 remainder 36 |
| 2 | 77 ÷ 36 = 2 remainder 5 |
| 3 | 36 ÷ 5 = 7 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 20 | 1620 |
| 96 and 116 | 2784 |
| 192 and 130 | 12480 |
| 172 and 82 | 7052 |
| 81 and 171 | 1539 |