Least Common Multiple (LCM) of 168 and 179
The least common multiple (LCM) of 168 and 179 is 30072.
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 168 and 179?
First, calculate the GCD of 168 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 179 = 0 remainder 168 |
| 2 | 179 ÷ 168 = 1 remainder 11 |
| 3 | 168 ÷ 11 = 15 remainder 3 |
| 4 | 11 ÷ 3 = 3 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 138 | 9246 |
| 138 and 107 | 14766 |
| 169 and 123 | 20787 |
| 135 and 22 | 2970 |
| 165 and 43 | 7095 |