Least Common Multiple of 4038 and 4045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4038 and 4045 the smallest integer that is 16333710 that is divisible by both numbers.

Least Common Multiple (LCM) of 4038 and 4045 is 16333710.

LCM(4038,4045) = 16333710

LCM of 4038 and 4045

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

LCM of:
and

Least Common Multiple of 4038 and 4045

LCM of 4038 and 4045 is 16333710

Least common multiple can be found by multiplying the highest exponent prime factors of 4038 and 4045. First we will calculate the prime factors of 4038 and 4045.

Prime Factorization of 4038


2 4038
3 2019
673 673
1

Prime factors of 4038 are 2, 3,673. Prime factorization of 4038 in exponential form is:

4038 = 21×31×6731

Prime Factorization of 4045


5 4045
809 809
1

Prime factors of 4045 are 5,809. Prime factorization of 4045 in exponential form is:

4045 = 51×8091

Now multiplying the highest exponent prime factors to calculate the LCM of 4038 and 4045.

LCM(4038,4045) = 21×31×51×6731×8091
LCM(4038,4045) = 16333710

Factors of 4038

List of positive integer factors of 4038 that divides 4038 without a remainder.

1, 2, 3, 6, 673, 1346, 2019, 4038

Factors of 4045

List of positive integer factors of 4045 that divides 4045 without a remainder.

1, 5, 809, 4045

Least Common Multiple of 4038 and 4045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4038 and 4045, than apply into the LCM equation.

GCF(4038,4045) = 1
LCM(4038,4045) = ( 4038 × 4045) / 1
LCM(4038,4045) = 16333710 / 1
LCM(4038,4045) = 16333710

Properties of LCM 4038 and 4045

(i) The LCM of 4045 and 4038 is associative

LCM of 4038 and 4045 = LCM of 4045 and 4038

Related Least Common Multiples of 4038

Related Least Common Multiples of 4045

Frequently Asked Questions on LCM of 4038 and 4045

1. What is the LCM of 4038 and 4045?

Answer: LCM of 4038 and 4045 is 16333710.

2. What are the Factors of 4038?

Answer: Factors of 4038 are 1, 2, 3, 6, 673, 1346, 2019, 4038. There are 8 integers that are factors of 4038. The greatest factor of 4038 is 4038.

3. What are the Factors of 4045?

Answer: Factors of 4045 are 1, 5, 809, 4045. There are 4 integers that are factors of 4045. The greatest factor of 4045 is 4045.

4. How to Find the LCM of 4038 and 4045?

Answer:

Least Common Multiple of 4038 and 4045 = 16333710

Step 1: Find the prime factorization of 4038

4038 = 2 x 3 x 673

Step 2: Find the prime factorization of 4045

4045 = 5 x 809

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

LCM = 16333710 = 2 x 3 x 5 x 673 x 809

Step 4: Therefore, the least common multiple of 4038 and 4045 is 16333710.