Least Common Multiple (LCM) of 176 and 150
The least common multiple (LCM) of 176 and 150 is 13200.
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 176 and 150?
First, calculate the GCD of 176 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 150 = 1 remainder 26 |
| 2 | 150 ÷ 26 = 5 remainder 20 |
| 3 | 26 ÷ 20 = 1 remainder 6 |
| 4 | 20 ÷ 6 = 3 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 70 | 4130 |
| 193 and 129 | 24897 |
| 73 and 156 | 11388 |
| 156 and 19 | 2964 |
| 128 and 100 | 3200 |