Least Common Multiple of 4436 and 4444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4436 and 4444 the smallest integer that is 4928396 that is divisible by both numbers.

Least Common Multiple (LCM) of 4436 and 4444 is 4928396.

LCM(4436,4444) = 4928396

LCM of 4436 and 4444

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

LCM of:
and

Least Common Multiple of 4436 and 4444

LCM of 4436 and 4444 is 4928396

Least common multiple can be found by multiplying the highest exponent prime factors of 4436 and 4444. First we will calculate the prime factors of 4436 and 4444.

Prime Factorization of 4436


2 4436
2 2218
1109 1109
1

Prime factors of 4436 are 2,1109. Prime factorization of 4436 in exponential form is:

4436 = 22×11091

Prime Factorization of 4444


2 4444
2 2222
11 1111
101 101
1

Prime factors of 4444 are 2, 11,101. Prime factorization of 4444 in exponential form is:

4444 = 22×111×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 4436 and 4444.

LCM(4436,4444) = 22×111×1011×11091
LCM(4436,4444) = 4928396

Factors of 4436

List of positive integer factors of 4436 that divides 4436 without a remainder.

1, 2, 4, 1109, 2218, 4436

Factors of 4444

List of positive integer factors of 4444 that divides 4444 without a remainder.

1, 2, 4, 11, 22, 44, 101, 202, 404, 1111, 2222, 4444

Least Common Multiple of 4436 and 4444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4436 and 4444, than apply into the LCM equation.

GCF(4436,4444) = 4
LCM(4436,4444) = ( 4436 × 4444) / 4
LCM(4436,4444) = 19713584 / 4
LCM(4436,4444) = 4928396

Properties of LCM 4436 and 4444

(i) The LCM of 4444 and 4436 is associative

LCM of 4436 and 4444 = LCM of 4444 and 4436

Related Least Common Multiples of 4436

Related Least Common Multiples of 4444

Frequently Asked Questions on LCM of 4436 and 4444

1. What is the LCM of 4436 and 4444?

Answer: LCM of 4436 and 4444 is 4928396.

2. What are the Factors of 4436?

Answer: Factors of 4436 are 1, 2, 4, 1109, 2218, 4436. There are 6 integers that are factors of 4436. The greatest factor of 4436 is 4436.

3. What are the Factors of 4444?

Answer: Factors of 4444 are 1, 2, 4, 11, 22, 44, 101, 202, 404, 1111, 2222, 4444. There are 12 integers that are factors of 4444. The greatest factor of 4444 is 4444.

4. How to Find the LCM of 4436 and 4444?

Answer:

Least Common Multiple of 4436 and 4444 = 4928396

Step 1: Find the prime factorization of 4436

4436 = 2 x 2 x 1109

Step 2: Find the prime factorization of 4444

4444 = 2 x 2 x 11 x 101

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

LCM = 4928396 = 2 x 2 x 11 x 101 x 1109

Step 4: Therefore, the least common multiple of 4436 and 4444 is 4928396.