Least Common Multiple (LCM) of 179 and 20
The least common multiple (LCM) of 179 and 20 is 3580.
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 20?
First, calculate the GCD of 179 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 20 = 8 remainder 19 |
| 2 | 20 ÷ 19 = 1 remainder 1 |
| 3 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 83 | 8217 |
| 166 and 96 | 7968 |
| 155 and 194 | 30070 |
| 103 and 115 | 11845 |
| 189 and 74 | 13986 |