Least Common Multiple of 4479 and 4485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4479 and 4485 the smallest integer that is 6696105 that is divisible by both numbers.

Least Common Multiple (LCM) of 4479 and 4485 is 6696105.

LCM(4479,4485) = 6696105

LCM of 4479 and 4485

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

LCM of:
and

Least Common Multiple of 4479 and 4485

LCM of 4479 and 4485 is 6696105

Least common multiple can be found by multiplying the highest exponent prime factors of 4479 and 4485. First we will calculate the prime factors of 4479 and 4485.

Prime Factorization of 4479


3 4479
1493 1493
1

Prime factors of 4479 are 3,1493. Prime factorization of 4479 in exponential form is:

4479 = 31×14931

Prime Factorization of 4485


3 4485
5 1495
13 299
23 23
1

Prime factors of 4485 are 3, 5, 13,23. Prime factorization of 4485 in exponential form is:

4485 = 31×51×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4479 and 4485.

LCM(4479,4485) = 31×51×131×231×14931
LCM(4479,4485) = 6696105

Factors of 4479

List of positive integer factors of 4479 that divides 4479 without a remainder.

1, 3, 1493, 4479

Factors of 4485

List of positive integer factors of 4485 that divides 4485 without a remainder.

1, 3, 5, 13, 15, 23, 39, 65, 69, 115, 195, 299, 345, 897, 1495, 4485

Least Common Multiple of 4479 and 4485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4479 and 4485, than apply into the LCM equation.

GCF(4479,4485) = 3
LCM(4479,4485) = ( 4479 × 4485) / 3
LCM(4479,4485) = 20088315 / 3
LCM(4479,4485) = 6696105

Properties of LCM 4479 and 4485

(i) The LCM of 4485 and 4479 is associative

LCM of 4479 and 4485 = LCM of 4485 and 4479

Related Least Common Multiples of 4479

Related Least Common Multiples of 4485

Frequently Asked Questions on LCM of 4479 and 4485

1. What is the LCM of 4479 and 4485?

Answer: LCM of 4479 and 4485 is 6696105.

2. What are the Factors of 4479?

Answer: Factors of 4479 are 1, 3, 1493, 4479. There are 4 integers that are factors of 4479. The greatest factor of 4479 is 4479.

3. What are the Factors of 4485?

Answer: Factors of 4485 are 1, 3, 5, 13, 15, 23, 39, 65, 69, 115, 195, 299, 345, 897, 1495, 4485. There are 16 integers that are factors of 4485. The greatest factor of 4485 is 4485.

4. How to Find the LCM of 4479 and 4485?

Answer:

Least Common Multiple of 4479 and 4485 = 6696105

Step 1: Find the prime factorization of 4479

4479 = 3 x 1493

Step 2: Find the prime factorization of 4485

4485 = 3 x 5 x 13 x 23

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

LCM = 6696105 = 3 x 5 x 13 x 23 x 1493

Step 4: Therefore, the least common multiple of 4479 and 4485 is 6696105.