Least Common Multiple of 4474 and 4475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4474 and 4475 the smallest integer that is 20021150 that is divisible by both numbers.

Least Common Multiple (LCM) of 4474 and 4475 is 20021150.

LCM(4474,4475) = 20021150

LCM of 4474 and 4475

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

LCM of:
and

Least Common Multiple of 4474 and 4475

LCM of 4474 and 4475 is 20021150

Least common multiple can be found by multiplying the highest exponent prime factors of 4474 and 4475. First we will calculate the prime factors of 4474 and 4475.

Prime Factorization of 4474


2 4474
2237 2237
1

Prime factors of 4474 are 2,2237. Prime factorization of 4474 in exponential form is:

4474 = 21×22371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4474 and 4475.

LCM(4474,4475) = 21×52×1791×22371
LCM(4474,4475) = 20021150

Factors of 4474

List of positive integer factors of 4474 that divides 4474 without a remainder.

1, 2, 2237, 4474

Factors of 4475

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

1, 5, 25, 179, 895, 4475

Least Common Multiple of 4474 and 4475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4474 and 4475, than apply into the LCM equation.

GCF(4474,4475) = 1
LCM(4474,4475) = ( 4474 × 4475) / 1
LCM(4474,4475) = 20021150 / 1
LCM(4474,4475) = 20021150

Properties of LCM 4474 and 4475

(i) The LCM of 4475 and 4474 is associative

LCM of 4474 and 4475 = LCM of 4475 and 4474

Related Least Common Multiples of 4474

Related Least Common Multiples of 4475

Frequently Asked Questions on LCM of 4474 and 4475

1. What is the LCM of 4474 and 4475?

Answer: LCM of 4474 and 4475 is 20021150.

2. What are the Factors of 4474?

Answer: Factors of 4474 are 1, 2, 2237, 4474. There are 4 integers that are factors of 4474. The greatest factor of 4474 is 4474.

3. 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.

4. How to Find the LCM of 4474 and 4475?

Answer:

Least Common Multiple of 4474 and 4475 = 20021150

Step 1: Find the prime factorization of 4474

4474 = 2 x 2237

Step 2: Find the prime factorization of 4475

4475 = 5 x 5 x 179

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

LCM = 20021150 = 2 x 5 x 5 x 179 x 2237

Step 4: Therefore, the least common multiple of 4474 and 4475 is 20021150.