Least Common Multiple (LCM) of 179 and 150
The least common multiple (LCM) of 179 and 150 is 26850.
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 150?
First, calculate the GCD of 179 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 150 = 1 remainder 29 |
| 2 | 150 ÷ 29 = 5 remainder 5 |
| 3 | 29 ÷ 5 = 5 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 182 | 546 |
| 172 and 77 | 13244 |
| 140 and 104 | 3640 |
| 50 and 101 | 5050 |
| 111 and 150 | 5550 |