Least Common Multiple of 4396 and 4404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4396 and 4404 the smallest integer that is 4839996 that is divisible by both numbers.

Least Common Multiple (LCM) of 4396 and 4404 is 4839996.

LCM(4396,4404) = 4839996

LCM of 4396 and 4404

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

LCM of:
and

Least Common Multiple of 4396 and 4404

LCM of 4396 and 4404 is 4839996

Least common multiple can be found by multiplying the highest exponent prime factors of 4396 and 4404. First we will calculate the prime factors of 4396 and 4404.

Prime Factorization of 4396


2 4396
2 2198
7 1099
157 157
1

Prime factors of 4396 are 2, 7,157. Prime factorization of 4396 in exponential form is:

4396 = 22×71×1571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4396 and 4404.

LCM(4396,4404) = 22×31×71×1571×3671
LCM(4396,4404) = 4839996

Factors of 4396

List of positive integer factors of 4396 that divides 4396 without a remainder.

1, 2, 4, 7, 14, 28, 157, 314, 628, 1099, 2198, 4396

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

Least Common Multiple of 4396 and 4404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4396 and 4404, than apply into the LCM equation.

GCF(4396,4404) = 4
LCM(4396,4404) = ( 4396 × 4404) / 4
LCM(4396,4404) = 19359984 / 4
LCM(4396,4404) = 4839996

Properties of LCM 4396 and 4404

(i) The LCM of 4404 and 4396 is associative

LCM of 4396 and 4404 = LCM of 4404 and 4396

Related Least Common Multiples of 4396

Related Least Common Multiples of 4404

Frequently Asked Questions on LCM of 4396 and 4404

1. What is the LCM of 4396 and 4404?

Answer: LCM of 4396 and 4404 is 4839996.

2. What are the Factors of 4396?

Answer: Factors of 4396 are 1, 2, 4, 7, 14, 28, 157, 314, 628, 1099, 2198, 4396. There are 12 integers that are factors of 4396. The greatest factor of 4396 is 4396.

3. 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.

4. How to Find the LCM of 4396 and 4404?

Answer:

Least Common Multiple of 4396 and 4404 = 4839996

Step 1: Find the prime factorization of 4396

4396 = 2 x 2 x 7 x 157

Step 2: Find the prime factorization of 4404

4404 = 2 x 2 x 3 x 367

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

LCM = 4839996 = 2 x 2 x 3 x 7 x 157 x 367

Step 4: Therefore, the least common multiple of 4396 and 4404 is 4839996.