Least Common Multiple (LCM) of 178 and 90
The least common multiple (LCM) of 178 and 90 is 8010.
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 90?
First, calculate the GCD of 178 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 90 = 1 remainder 88 |
| 2 | 90 ÷ 88 = 1 remainder 2 |
| 3 | 88 ÷ 2 = 44 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 75 | 75 |
| 176 and 19 | 3344 |
| 196 and 55 | 10780 |
| 29 and 105 | 3045 |
| 159 and 128 | 20352 |