Least Common Multiple (LCM) of 150 and 179
The least common multiple (LCM) of 150 and 179 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 150 and 179?
First, calculate the GCD of 150 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 179 = 0 remainder 150 |
| 2 | 179 ÷ 150 = 1 remainder 29 |
| 3 | 150 ÷ 29 = 5 remainder 5 |
| 4 | 29 ÷ 5 = 5 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 138 | 23874 |
| 132 and 137 | 18084 |
| 157 and 165 | 25905 |
| 48 and 65 | 3120 |
| 45 and 170 | 1530 |