Least Common Multiple (LCM) of 178 and 150
The least common multiple (LCM) of 178 and 150 is 13350.
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 178 and 150?
First, calculate the GCD of 178 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 150 = 1 remainder 28 |
| 2 | 150 ÷ 28 = 5 remainder 10 |
| 3 | 28 ÷ 10 = 2 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 20 | 2780 |
| 167 and 126 | 21042 |
| 22 and 121 | 242 |
| 25 and 124 | 3100 |
| 10 and 20 | 20 |