Least Common Multiple (LCM) of 190 and 79
The least common multiple (LCM) of 190 and 79 is 15010.
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 79?
First, calculate the GCD of 190 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 79 = 2 remainder 32 |
| 2 | 79 ÷ 32 = 2 remainder 15 |
| 3 | 32 ÷ 15 = 2 remainder 2 |
| 4 | 15 ÷ 2 = 7 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 112 | 896 |
| 25 and 194 | 4850 |
| 60 and 99 | 1980 |
| 107 and 34 | 3638 |
| 143 and 112 | 16016 |