Least Common Multiple (LCM) of 79 and 189
The least common multiple (LCM) of 79 and 189 is 14931.
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 79 and 189?
First, calculate the GCD of 79 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 189 = 0 remainder 79 |
| 2 | 189 ÷ 79 = 2 remainder 31 |
| 3 | 79 ÷ 31 = 2 remainder 17 |
| 4 | 31 ÷ 17 = 1 remainder 14 |
| 5 | 17 ÷ 14 = 1 remainder 3 |
| 6 | 14 ÷ 3 = 4 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 71 | 1065 |
| 85 and 21 | 1785 |
| 118 and 67 | 7906 |
| 100 and 102 | 5100 |
| 48 and 71 | 3408 |