Least Common Multiple of 4404 and 4407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4404 and 4407 the smallest integer that is 6469476 that is divisible by both numbers.

Least Common Multiple (LCM) of 4404 and 4407 is 6469476.

LCM(4404,4407) = 6469476

LCM of 4404 and 4407

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

LCM of:
and

Least Common Multiple of 4404 and 4407

LCM of 4404 and 4407 is 6469476

Least common multiple can be found by multiplying the highest exponent prime factors of 4404 and 4407. First we will calculate the prime factors of 4404 and 4407.

Prime Factorization of 4404


2 4404
2 2202
3 1101
367 367
1

Prime factors of 4404 are 2, 3,367. Prime factorization of 4404 in exponential form is:

4404 = 22×31×3671

Prime Factorization of 4407


3 4407
13 1469
113 113
1

Prime factors of 4407 are 3, 13,113. Prime factorization of 4407 in exponential form is:

4407 = 31×131×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 4404 and 4407.

LCM(4404,4407) = 22×31×131×1131×3671
LCM(4404,4407) = 6469476

Factors of 4404

List of positive integer factors of 4404 that divides 4404 without a remainder.

1, 2, 3, 4, 6, 12, 367, 734, 1101, 1468, 2202, 4404

Factors of 4407

List of positive integer factors of 4407 that divides 4407 without a remainder.

1, 3, 13, 39, 113, 339, 1469, 4407

Least Common Multiple of 4404 and 4407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4404 and 4407, than apply into the LCM equation.

GCF(4404,4407) = 3
LCM(4404,4407) = ( 4404 × 4407) / 3
LCM(4404,4407) = 19408428 / 3
LCM(4404,4407) = 6469476

Properties of LCM 4404 and 4407

(i) The LCM of 4407 and 4404 is associative

LCM of 4404 and 4407 = LCM of 4407 and 4404

Related Least Common Multiples of 4404

Related Least Common Multiples of 4407

Frequently Asked Questions on LCM of 4404 and 4407

1. What is the LCM of 4404 and 4407?

Answer: LCM of 4404 and 4407 is 6469476.

2. What are the Factors of 4404?

Answer: Factors of 4404 are 1, 2, 3, 4, 6, 12, 367, 734, 1101, 1468, 2202, 4404. There are 12 integers that are factors of 4404. The greatest factor of 4404 is 4404.

3. What are the Factors of 4407?

Answer: Factors of 4407 are 1, 3, 13, 39, 113, 339, 1469, 4407. There are 8 integers that are factors of 4407. The greatest factor of 4407 is 4407.

4. How to Find the LCM of 4404 and 4407?

Answer:

Least Common Multiple of 4404 and 4407 = 6469476

Step 1: Find the prime factorization of 4404

4404 = 2 x 2 x 3 x 367

Step 2: Find the prime factorization of 4407

4407 = 3 x 13 x 113

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

LCM = 6469476 = 2 x 2 x 3 x 13 x 113 x 367

Step 4: Therefore, the least common multiple of 4404 and 4407 is 6469476.