Least Common Multiple (LCM) of 149 and 179
The least common multiple (LCM) of 149 and 179 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 149 and 179?
First, calculate the GCD of 149 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 179 = 0 remainder 149 |
| 2 | 179 ÷ 149 = 1 remainder 30 |
| 3 | 149 ÷ 30 = 4 remainder 29 |
| 4 | 30 ÷ 29 = 1 remainder 1 |
| 5 | 29 ÷ 1 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 144 | 9360 |
| 144 and 79 | 11376 |
| 57 and 84 | 1596 |
| 108 and 15 | 540 |
| 14 and 140 | 140 |