Least Common Multiple of 4048 and 4053

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 4053 the smallest integer that is 16406544 that is divisible by both numbers.

Least Common Multiple (LCM) of 4048 and 4053 is 16406544.

LCM(4048,4053) = 16406544

LCM of 4048 and 4053

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

LCM of:
and

Least Common Multiple of 4048 and 4053

LCM of 4048 and 4053 is 16406544

Least common multiple can be found by multiplying the highest exponent prime factors of 4048 and 4053. First we will calculate the prime factors of 4048 and 4053.

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 4053


3 4053
7 1351
193 193
1

Prime factors of 4053 are 3, 7,193. Prime factorization of 4053 in exponential form is:

4053 = 31×71×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 4048 and 4053.

LCM(4048,4053) = 24×31×71×111×231×1931
LCM(4048,4053) = 16406544

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 4053

List of positive integer factors of 4053 that divides 4053 without a remainder.

1, 3, 7, 21, 193, 579, 1351, 4053

Least Common Multiple of 4048 and 4053 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 4053, than apply into the LCM equation.

GCF(4048,4053) = 1
LCM(4048,4053) = ( 4048 × 4053) / 1
LCM(4048,4053) = 16406544 / 1
LCM(4048,4053) = 16406544

Properties of LCM 4048 and 4053

(i) The LCM of 4053 and 4048 is associative

LCM of 4048 and 4053 = LCM of 4053 and 4048

Related Least Common Multiples of 4048

Related Least Common Multiples of 4053

Frequently Asked Questions on LCM of 4048 and 4053

1. What is the LCM of 4048 and 4053?

Answer: LCM of 4048 and 4053 is 16406544.

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 4053?

Answer: Factors of 4053 are 1, 3, 7, 21, 193, 579, 1351, 4053. There are 8 integers that are factors of 4053. The greatest factor of 4053 is 4053.

4. How to Find the LCM of 4048 and 4053?

Answer:

Least Common Multiple of 4048 and 4053 = 16406544

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 4053

4053 = 3 x 7 x 193

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

LCM = 16406544 = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 23 x 193

Step 4: Therefore, the least common multiple of 4048 and 4053 is 16406544.