Least Common Multiple (LCM) of 176 and 90
The least common multiple (LCM) of 176 and 90 is 7920.
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 90?
First, calculate the GCD of 176 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 90 = 1 remainder 86 |
| 2 | 90 ÷ 86 = 1 remainder 4 |
| 3 | 86 ÷ 4 = 21 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 116 | 116 |
| 88 and 152 | 1672 |
| 69 and 138 | 138 |
| 19 and 119 | 2261 |
| 30 and 111 | 1110 |