Least Common Multiple (LCM) of 178 and 153
The least common multiple (LCM) of 178 and 153 is 27234.
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 153?
First, calculate the GCD of 178 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 153 = 1 remainder 25 |
| 2 | 153 ÷ 25 = 6 remainder 3 |
| 3 | 25 ÷ 3 = 8 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 39 | 1365 |
| 13 and 168 | 2184 |
| 78 and 96 | 1248 |
| 135 and 39 | 1755 |
| 18 and 132 | 396 |