Least Common Multiple of 4475 and 4481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4475 and 4481 the smallest integer that is 20052475 that is divisible by both numbers.

Least Common Multiple (LCM) of 4475 and 4481 is 20052475.

LCM(4475,4481) = 20052475

LCM of 4475 and 4481

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4475 and 4481

LCM of 4475 and 4481 is 20052475

Least common multiple can be found by multiplying the highest exponent prime factors of 4475 and 4481. First we will calculate the prime factors of 4475 and 4481.

Prime Factorization of 4475


5 4475
5 895
179 179
1

Prime factors of 4475 are 5,179. Prime factorization of 4475 in exponential form is:

4475 = 52×1791

Prime Factorization of 4481


4481 4481
1

Prime factors of 4481 are 4481. Prime factorization of 4481 in exponential form is:

4481 = 44811

Now multiplying the highest exponent prime factors to calculate the LCM of 4475 and 4481.

LCM(4475,4481) = 52×1791×44811
LCM(4475,4481) = 20052475

Factors of 4475

List of positive integer factors of 4475 that divides 4475 without a remainder.

1, 5, 25, 179, 895, 4475

Factors of 4481

List of positive integer factors of 4481 that divides 4481 without a remainder.

1, 4481

Least Common Multiple of 4475 and 4481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4475 and 4481, than apply into the LCM equation.

GCF(4475,4481) = 1
LCM(4475,4481) = ( 4475 × 4481) / 1
LCM(4475,4481) = 20052475 / 1
LCM(4475,4481) = 20052475

Properties of LCM 4475 and 4481

(i) The LCM of 4481 and 4475 is associative

LCM of 4475 and 4481 = LCM of 4481 and 4475

Related Least Common Multiples of 4475

Related Least Common Multiples of 4481

Frequently Asked Questions on LCM of 4475 and 4481

1. What is the LCM of 4475 and 4481?

Answer: LCM of 4475 and 4481 is 20052475.

2. What are the Factors of 4475?

Answer: Factors of 4475 are 1, 5, 25, 179, 895, 4475. There are 6 integers that are factors of 4475. The greatest factor of 4475 is 4475.

3. What are the Factors of 4481?

Answer: Factors of 4481 are 1, 4481. There are 2 integers that are factors of 4481. The greatest factor of 4481 is 4481.

4. How to Find the LCM of 4475 and 4481?

Answer:

Least Common Multiple of 4475 and 4481 = 20052475

Step 1: Find the prime factorization of 4475

4475 = 5 x 5 x 179

Step 2: Find the prime factorization of 4481

4481 = 4481

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 20052475 = 5 x 5 x 179 x 4481

Step 4: Therefore, the least common multiple of 4475 and 4481 is 20052475.