Least Common Multiple (LCM) of 179 and 126
The least common multiple (LCM) of 179 and 126 is 22554.
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 126?
First, calculate the GCD of 179 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 126 = 1 remainder 53 |
| 2 | 126 ÷ 53 = 2 remainder 20 |
| 3 | 53 ÷ 20 = 2 remainder 13 |
| 4 | 20 ÷ 13 = 1 remainder 7 |
| 5 | 13 ÷ 7 = 1 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 162 | 1620 |
| 11 and 168 | 1848 |
| 116 and 164 | 4756 |
| 80 and 33 | 2640 |
| 112 and 81 | 9072 |