Least Common Multiple of 4428 and 4435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4428 and 4435 the smallest integer that is 19638180 that is divisible by both numbers.

Least Common Multiple (LCM) of 4428 and 4435 is 19638180.

LCM(4428,4435) = 19638180

LCM of 4428 and 4435

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

LCM of:
and

Least Common Multiple of 4428 and 4435

LCM of 4428 and 4435 is 19638180

Least common multiple can be found by multiplying the highest exponent prime factors of 4428 and 4435. First we will calculate the prime factors of 4428 and 4435.

Prime Factorization of 4428


2 4428
2 2214
3 1107
3 369
3 123
41 41
1

Prime factors of 4428 are 2, 3,41. Prime factorization of 4428 in exponential form is:

4428 = 22×33×411

Prime Factorization of 4435


5 4435
887 887
1

Prime factors of 4435 are 5,887. Prime factorization of 4435 in exponential form is:

4435 = 51×8871

Now multiplying the highest exponent prime factors to calculate the LCM of 4428 and 4435.

LCM(4428,4435) = 22×33×51×411×8871
LCM(4428,4435) = 19638180

Factors of 4428

List of positive integer factors of 4428 that divides 4428 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 82, 108, 123, 164, 246, 369, 492, 738, 1107, 1476, 2214, 4428

Factors of 4435

List of positive integer factors of 4435 that divides 4435 without a remainder.

1, 5, 887, 4435

Least Common Multiple of 4428 and 4435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4428 and 4435, than apply into the LCM equation.

GCF(4428,4435) = 1
LCM(4428,4435) = ( 4428 × 4435) / 1
LCM(4428,4435) = 19638180 / 1
LCM(4428,4435) = 19638180

Properties of LCM 4428 and 4435

(i) The LCM of 4435 and 4428 is associative

LCM of 4428 and 4435 = LCM of 4435 and 4428

Related Least Common Multiples of 4428

Related Least Common Multiples of 4435

Frequently Asked Questions on LCM of 4428 and 4435

1. What is the LCM of 4428 and 4435?

Answer: LCM of 4428 and 4435 is 19638180.

2. What are the Factors of 4428?

Answer: Factors of 4428 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 82, 108, 123, 164, 246, 369, 492, 738, 1107, 1476, 2214, 4428. There are 24 integers that are factors of 4428. The greatest factor of 4428 is 4428.

3. What are the Factors of 4435?

Answer: Factors of 4435 are 1, 5, 887, 4435. There are 4 integers that are factors of 4435. The greatest factor of 4435 is 4435.

4. How to Find the LCM of 4428 and 4435?

Answer:

Least Common Multiple of 4428 and 4435 = 19638180

Step 1: Find the prime factorization of 4428

4428 = 2 x 2 x 3 x 3 x 3 x 41

Step 2: Find the prime factorization of 4435

4435 = 5 x 887

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

LCM = 19638180 = 2 x 2 x 3 x 3 x 3 x 5 x 41 x 887

Step 4: Therefore, the least common multiple of 4428 and 4435 is 19638180.