Least Common Multiple of 4027 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 4027 and 4033 the smallest integer that is 16240891 that is divisible by both numbers.

Least Common Multiple (LCM) of 4027 and 4033 is 16240891.

LCM(4027,4033) = 16240891

LCM of 4027 and 4033

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

LCM of:
and

Least Common Multiple of 4027 and 4033

LCM of 4027 and 4033 is 16240891

Least common multiple can be found by multiplying the highest exponent prime factors of 4027 and 4033. First we will calculate the prime factors of 4027 and 4033.

Prime Factorization of 4027


4027 4027
1

Prime factors of 4027 are 4027. Prime factorization of 4027 in exponential form is:

4027 = 40271

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 4027 and 4033.

LCM(4027,4033) = 371×1091×40271
LCM(4027,4033) = 16240891

Factors of 4027

List of positive integer factors of 4027 that divides 4027 without a remainder.

1, 4027

Factors of 4033

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

1, 37, 109, 4033

Least Common Multiple of 4027 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 4027 and 4033, than apply into the LCM equation.

GCF(4027,4033) = 1
LCM(4027,4033) = ( 4027 × 4033) / 1
LCM(4027,4033) = 16240891 / 1
LCM(4027,4033) = 16240891

Properties of LCM 4027 and 4033

(i) The LCM of 4033 and 4027 is associative

LCM of 4027 and 4033 = LCM of 4033 and 4027

Related Least Common Multiples of 4027

Related Least Common Multiples of 4033

Frequently Asked Questions on LCM of 4027 and 4033

1. What is the LCM of 4027 and 4033?

Answer: LCM of 4027 and 4033 is 16240891.

2. What are the Factors of 4027?

Answer: Factors of 4027 are 1, 4027. There are 2 integers that are factors of 4027. The greatest factor of 4027 is 4027.

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 4027 and 4033?

Answer:

Least Common Multiple of 4027 and 4033 = 16240891

Step 1: Find the prime factorization of 4027

4027 = 4027

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 = 16240891 = 37 x 109 x 4027

Step 4: Therefore, the least common multiple of 4027 and 4033 is 16240891.