Least Common Multiple of 4476 and 4484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4476 and 4484 the smallest integer that is 5017596 that is divisible by both numbers.

Least Common Multiple (LCM) of 4476 and 4484 is 5017596.

LCM(4476,4484) = 5017596

LCM of 4476 and 4484

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

LCM of:
and

Least Common Multiple of 4476 and 4484

LCM of 4476 and 4484 is 5017596

Least common multiple can be found by multiplying the highest exponent prime factors of 4476 and 4484. First we will calculate the prime factors of 4476 and 4484.

Prime Factorization of 4476


2 4476
2 2238
3 1119
373 373
1

Prime factors of 4476 are 2, 3,373. Prime factorization of 4476 in exponential form is:

4476 = 22×31×3731

Prime Factorization of 4484


2 4484
2 2242
19 1121
59 59
1

Prime factors of 4484 are 2, 19,59. Prime factorization of 4484 in exponential form is:

4484 = 22×191×591

Now multiplying the highest exponent prime factors to calculate the LCM of 4476 and 4484.

LCM(4476,4484) = 22×31×191×591×3731
LCM(4476,4484) = 5017596

Factors of 4476

List of positive integer factors of 4476 that divides 4476 without a remainder.

1, 2, 3, 4, 6, 12, 373, 746, 1119, 1492, 2238, 4476

Factors of 4484

List of positive integer factors of 4484 that divides 4484 without a remainder.

1, 2, 4, 19, 38, 59, 76, 118, 236, 1121, 2242, 4484

Least Common Multiple of 4476 and 4484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4476 and 4484, than apply into the LCM equation.

GCF(4476,4484) = 4
LCM(4476,4484) = ( 4476 × 4484) / 4
LCM(4476,4484) = 20070384 / 4
LCM(4476,4484) = 5017596

Properties of LCM 4476 and 4484

(i) The LCM of 4484 and 4476 is associative

LCM of 4476 and 4484 = LCM of 4484 and 4476

Related Least Common Multiples of 4476

Related Least Common Multiples of 4484

Frequently Asked Questions on LCM of 4476 and 4484

1. What is the LCM of 4476 and 4484?

Answer: LCM of 4476 and 4484 is 5017596.

2. What are the Factors of 4476?

Answer: Factors of 4476 are 1, 2, 3, 4, 6, 12, 373, 746, 1119, 1492, 2238, 4476. There are 12 integers that are factors of 4476. The greatest factor of 4476 is 4476.

3. What are the Factors of 4484?

Answer: Factors of 4484 are 1, 2, 4, 19, 38, 59, 76, 118, 236, 1121, 2242, 4484. There are 12 integers that are factors of 4484. The greatest factor of 4484 is 4484.

4. How to Find the LCM of 4476 and 4484?

Answer:

Least Common Multiple of 4476 and 4484 = 5017596

Step 1: Find the prime factorization of 4476

4476 = 2 x 2 x 3 x 373

Step 2: Find the prime factorization of 4484

4484 = 2 x 2 x 19 x 59

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

LCM = 5017596 = 2 x 2 x 3 x 19 x 59 x 373

Step 4: Therefore, the least common multiple of 4476 and 4484 is 5017596.