Least Common Multiple (LCM) of 179 and 101
The least common multiple (LCM) of 179 and 101 is 18079.
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 101?
First, calculate the GCD of 179 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 101 = 1 remainder 78 |
| 2 | 101 ÷ 78 = 1 remainder 23 |
| 3 | 78 ÷ 23 = 3 remainder 9 |
| 4 | 23 ÷ 9 = 2 remainder 5 |
| 5 | 9 ÷ 5 = 1 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 188 | 10716 |
| 133 and 180 | 23940 |
| 67 and 199 | 13333 |
| 138 and 160 | 11040 |
| 167 and 199 | 33233 |