Least Common Multiple (LCM) of 179 and 99
The least common multiple (LCM) of 179 and 99 is 17721.
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 179 and 99?
First, calculate the GCD of 179 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 99 = 1 remainder 80 |
| 2 | 99 ÷ 80 = 1 remainder 19 |
| 3 | 80 ÷ 19 = 4 remainder 4 |
| 4 | 19 ÷ 4 = 4 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 38 | 1938 |
| 57 and 51 | 969 |
| 193 and 181 | 34933 |
| 141 and 124 | 17484 |
| 96 and 113 | 10848 |