Least Common Multiple of 4404 and 4411

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 4411 the smallest integer that is 19426044 that is divisible by both numbers.

Least Common Multiple (LCM) of 4404 and 4411 is 19426044.

LCM(4404,4411) = 19426044

LCM of 4404 and 4411

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

LCM of:
and

Least Common Multiple of 4404 and 4411

LCM of 4404 and 4411 is 19426044

Least common multiple can be found by multiplying the highest exponent prime factors of 4404 and 4411. First we will calculate the prime factors of 4404 and 4411.

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 4411


11 4411
401 401
1

Prime factors of 4411 are 11,401. Prime factorization of 4411 in exponential form is:

4411 = 111×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 4404 and 4411.

LCM(4404,4411) = 22×31×111×3671×4011
LCM(4404,4411) = 19426044

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 4411

List of positive integer factors of 4411 that divides 4411 without a remainder.

1, 11, 401, 4411

Least Common Multiple of 4404 and 4411 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 4411, than apply into the LCM equation.

GCF(4404,4411) = 1
LCM(4404,4411) = ( 4404 × 4411) / 1
LCM(4404,4411) = 19426044 / 1
LCM(4404,4411) = 19426044

Properties of LCM 4404 and 4411

(i) The LCM of 4411 and 4404 is associative

LCM of 4404 and 4411 = LCM of 4411 and 4404

Related Least Common Multiples of 4404

Related Least Common Multiples of 4411

Frequently Asked Questions on LCM of 4404 and 4411

1. What is the LCM of 4404 and 4411?

Answer: LCM of 4404 and 4411 is 19426044.

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 4411?

Answer: Factors of 4411 are 1, 11, 401, 4411. There are 4 integers that are factors of 4411. The greatest factor of 4411 is 4411.

4. How to Find the LCM of 4404 and 4411?

Answer:

Least Common Multiple of 4404 and 4411 = 19426044

Step 1: Find the prime factorization of 4404

4404 = 2 x 2 x 3 x 367

Step 2: Find the prime factorization of 4411

4411 = 11 x 401

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

LCM = 19426044 = 2 x 2 x 3 x 11 x 367 x 401

Step 4: Therefore, the least common multiple of 4404 and 4411 is 19426044.