Least Common Multiple of 4048 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 4048 and 4052 the smallest integer that is 4100624 that is divisible by both numbers.

Least Common Multiple (LCM) of 4048 and 4052 is 4100624.

LCM(4048,4052) = 4100624

LCM of 4048 and 4052

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

LCM of:
and

Least Common Multiple of 4048 and 4052

LCM of 4048 and 4052 is 4100624

Least common multiple can be found by multiplying the highest exponent prime factors of 4048 and 4052. First we will calculate the prime factors of 4048 and 4052.

Prime Factorization of 4048


2 4048
2 2024
2 1012
2 506
11 253
23 23
1

Prime factors of 4048 are 2, 11,23. Prime factorization of 4048 in exponential form is:

4048 = 24×111×231

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 4048 and 4052.

LCM(4048,4052) = 24×111×231×10131
LCM(4048,4052) = 4100624

Factors of 4048

List of positive integer factors of 4048 that divides 4048 without a remainder.

1, 2, 4, 8, 11, 16, 22, 23, 44, 46, 88, 92, 176, 184, 253, 368, 506, 1012, 2024, 4048

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 4048 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 4048 and 4052, than apply into the LCM equation.

GCF(4048,4052) = 4
LCM(4048,4052) = ( 4048 × 4052) / 4
LCM(4048,4052) = 16402496 / 4
LCM(4048,4052) = 4100624

Properties of LCM 4048 and 4052

(i) The LCM of 4052 and 4048 is associative

LCM of 4048 and 4052 = LCM of 4052 and 4048

Related Least Common Multiples of 4048

Related Least Common Multiples of 4052

Frequently Asked Questions on LCM of 4048 and 4052

1. What is the LCM of 4048 and 4052?

Answer: LCM of 4048 and 4052 is 4100624.

2. What are the Factors of 4048?

Answer: Factors of 4048 are 1, 2, 4, 8, 11, 16, 22, 23, 44, 46, 88, 92, 176, 184, 253, 368, 506, 1012, 2024, 4048. There are 20 integers that are factors of 4048. The greatest factor of 4048 is 4048.

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 4048 and 4052?

Answer:

Least Common Multiple of 4048 and 4052 = 4100624

Step 1: Find the prime factorization of 4048

4048 = 2 x 2 x 2 x 2 x 11 x 23

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 = 4100624 = 2 x 2 x 2 x 2 x 11 x 23 x 1013

Step 4: Therefore, the least common multiple of 4048 and 4052 is 4100624.