Least Common Multiple (LCM) of 179 and 149
The least common multiple (LCM) of 179 and 149 is 26671.
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 149?
First, calculate the GCD of 179 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 149 = 1 remainder 30 |
| 2 | 149 ÷ 30 = 4 remainder 29 |
| 3 | 30 ÷ 29 = 1 remainder 1 |
| 4 | 29 ÷ 1 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 51 | 5610 |
| 67 and 148 | 9916 |
| 12 and 96 | 96 |
| 103 and 148 | 15244 |
| 90 and 118 | 5310 |