Least Common Multiple of 4404 and 4410

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 4410 the smallest integer that is 3236940 that is divisible by both numbers.

Least Common Multiple (LCM) of 4404 and 4410 is 3236940.

LCM(4404,4410) = 3236940

LCM of 4404 and 4410

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

LCM of:
and

Least Common Multiple of 4404 and 4410

LCM of 4404 and 4410 is 3236940

Least common multiple can be found by multiplying the highest exponent prime factors of 4404 and 4410. First we will calculate the prime factors of 4404 and 4410.

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 4410


2 4410
3 2205
3 735
5 245
7 49
7 7
1

Prime factors of 4410 are 2, 3, 5,7. Prime factorization of 4410 in exponential form is:

4410 = 21×32×51×72

Now multiplying the highest exponent prime factors to calculate the LCM of 4404 and 4410.

LCM(4404,4410) = 22×32×51×72×3671
LCM(4404,4410) = 3236940

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 4410

List of positive integer factors of 4410 that divides 4410 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 49, 63, 70, 90, 98, 105, 126, 147, 210, 245, 294, 315, 441, 490, 630, 735, 882, 1470, 2205, 4410

Least Common Multiple of 4404 and 4410 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 4410, than apply into the LCM equation.

GCF(4404,4410) = 6
LCM(4404,4410) = ( 4404 × 4410) / 6
LCM(4404,4410) = 19421640 / 6
LCM(4404,4410) = 3236940

Properties of LCM 4404 and 4410

(i) The LCM of 4410 and 4404 is associative

LCM of 4404 and 4410 = LCM of 4410 and 4404

Related Least Common Multiples of 4404

Related Least Common Multiples of 4410

Frequently Asked Questions on LCM of 4404 and 4410

1. What is the LCM of 4404 and 4410?

Answer: LCM of 4404 and 4410 is 3236940.

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 4410?

Answer: Factors of 4410 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 49, 63, 70, 90, 98, 105, 126, 147, 210, 245, 294, 315, 441, 490, 630, 735, 882, 1470, 2205, 4410. There are 36 integers that are factors of 4410. The greatest factor of 4410 is 4410.

4. How to Find the LCM of 4404 and 4410?

Answer:

Least Common Multiple of 4404 and 4410 = 3236940

Step 1: Find the prime factorization of 4404

4404 = 2 x 2 x 3 x 367

Step 2: Find the prime factorization of 4410

4410 = 2 x 3 x 3 x 5 x 7 x 7

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

LCM = 3236940 = 2 x 2 x 3 x 3 x 5 x 7 x 7 x 367

Step 4: Therefore, the least common multiple of 4404 and 4410 is 3236940.