Least Common Multiple (LCM) of 146 and 179
The least common multiple (LCM) of 146 and 179 is 26134.
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 146 and 179?
First, calculate the GCD of 146 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 179 = 0 remainder 146 |
| 2 | 179 ÷ 146 = 1 remainder 33 |
| 3 | 146 ÷ 33 = 4 remainder 14 |
| 4 | 33 ÷ 14 = 2 remainder 5 |
| 5 | 14 ÷ 5 = 2 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 173 | 32870 |
| 55 and 40 | 440 |
| 105 and 100 | 2100 |
| 107 and 129 | 13803 |
| 79 and 150 | 11850 |