Least Common Multiple of 4028 and 4033

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4028 and 4033 the smallest integer that is 16244924 that is divisible by both numbers.

Least Common Multiple (LCM) of 4028 and 4033 is 16244924.

LCM(4028,4033) = 16244924

LCM of 4028 and 4033

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

LCM of:
and

Least Common Multiple of 4028 and 4033

LCM of 4028 and 4033 is 16244924

Least common multiple can be found by multiplying the highest exponent prime factors of 4028 and 4033. First we will calculate the prime factors of 4028 and 4033.

Prime Factorization of 4028


2 4028
2 2014
19 1007
53 53
1

Prime factors of 4028 are 2, 19,53. Prime factorization of 4028 in exponential form is:

4028 = 22×191×531

Prime Factorization of 4033


37 4033
109 109
1

Prime factors of 4033 are 37,109. Prime factorization of 4033 in exponential form is:

4033 = 371×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 4028 and 4033.

LCM(4028,4033) = 22×191×371×531×1091
LCM(4028,4033) = 16244924

Factors of 4028

List of positive integer factors of 4028 that divides 4028 without a remainder.

1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028

Factors of 4033

List of positive integer factors of 4033 that divides 4033 without a remainder.

1, 37, 109, 4033

Least Common Multiple of 4028 and 4033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4028 and 4033, than apply into the LCM equation.

GCF(4028,4033) = 1
LCM(4028,4033) = ( 4028 × 4033) / 1
LCM(4028,4033) = 16244924 / 1
LCM(4028,4033) = 16244924

Properties of LCM 4028 and 4033

(i) The LCM of 4033 and 4028 is associative

LCM of 4028 and 4033 = LCM of 4033 and 4028

Related Least Common Multiples of 4028

Related Least Common Multiples of 4033

Frequently Asked Questions on LCM of 4028 and 4033

1. What is the LCM of 4028 and 4033?

Answer: LCM of 4028 and 4033 is 16244924.

2. What are the Factors of 4028?

Answer: Factors of 4028 are 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028. There are 12 integers that are factors of 4028. The greatest factor of 4028 is 4028.

3. What are the Factors of 4033?

Answer: Factors of 4033 are 1, 37, 109, 4033. There are 4 integers that are factors of 4033. The greatest factor of 4033 is 4033.

4. How to Find the LCM of 4028 and 4033?

Answer:

Least Common Multiple of 4028 and 4033 = 16244924

Step 1: Find the prime factorization of 4028

4028 = 2 x 2 x 19 x 53

Step 2: Find the prime factorization of 4033

4033 = 37 x 109

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

LCM = 16244924 = 2 x 2 x 19 x 37 x 53 x 109

Step 4: Therefore, the least common multiple of 4028 and 4033 is 16244924.