Least Common Multiple (LCM) of 190 and 78
The least common multiple (LCM) of 190 and 78 is 7410.
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 78?
First, calculate the GCD of 190 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 78 = 2 remainder 34 |
| 2 | 78 ÷ 34 = 2 remainder 10 |
| 3 | 34 ÷ 10 = 3 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 45 | 2520 |
| 103 and 132 | 13596 |
| 101 and 38 | 3838 |
| 11 and 65 | 715 |
| 102 and 165 | 5610 |