Least Common Multiple of 4045 and 4052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4045 and 4052 the smallest integer that is 16390340 that is divisible by both numbers.

Least Common Multiple (LCM) of 4045 and 4052 is 16390340.

LCM(4045,4052) = 16390340

LCM of 4045 and 4052

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

LCM of:
and

Least Common Multiple of 4045 and 4052

LCM of 4045 and 4052 is 16390340

Least common multiple can be found by multiplying the highest exponent prime factors of 4045 and 4052. First we will calculate the prime factors of 4045 and 4052.

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

Prime Factorization of 4052


2 4052
2 2026
1013 1013
1

Prime factors of 4052 are 2,1013. Prime factorization of 4052 in exponential form is:

4052 = 22×10131

Now multiplying the highest exponent prime factors to calculate the LCM of 4045 and 4052.

LCM(4045,4052) = 22×51×8091×10131
LCM(4045,4052) = 16390340

Factors of 4045

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

1, 5, 809, 4045

Factors of 4052

List of positive integer factors of 4052 that divides 4052 without a remainder.

1, 2, 4, 1013, 2026, 4052

Least Common Multiple of 4045 and 4052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4045 and 4052, than apply into the LCM equation.

GCF(4045,4052) = 1
LCM(4045,4052) = ( 4045 × 4052) / 1
LCM(4045,4052) = 16390340 / 1
LCM(4045,4052) = 16390340

Properties of LCM 4045 and 4052

(i) The LCM of 4052 and 4045 is associative

LCM of 4045 and 4052 = LCM of 4052 and 4045

Related Least Common Multiples of 4045

Related Least Common Multiples of 4052

Frequently Asked Questions on LCM of 4045 and 4052

1. What is the LCM of 4045 and 4052?

Answer: LCM of 4045 and 4052 is 16390340.

2. 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.

3. What are the Factors of 4052?

Answer: Factors of 4052 are 1, 2, 4, 1013, 2026, 4052. There are 6 integers that are factors of 4052. The greatest factor of 4052 is 4052.

4. How to Find the LCM of 4045 and 4052?

Answer:

Least Common Multiple of 4045 and 4052 = 16390340

Step 1: Find the prime factorization of 4045

4045 = 5 x 809

Step 2: Find the prime factorization of 4052

4052 = 2 x 2 x 1013

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

LCM = 16390340 = 2 x 2 x 5 x 809 x 1013

Step 4: Therefore, the least common multiple of 4045 and 4052 is 16390340.