Least Common Multiple (LCM) of 179 and 123
The least common multiple (LCM) of 179 and 123 is 22017.
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 123?
First, calculate the GCD of 179 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 123 = 1 remainder 56 |
| 2 | 123 ÷ 56 = 2 remainder 11 |
| 3 | 56 ÷ 11 = 5 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 124 | 6820 |
| 148 and 52 | 1924 |
| 15 and 117 | 585 |
| 91 and 109 | 9919 |
| 177 and 116 | 20532 |