Least Common Multiple of 3048 and 3053

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3048 and 3053 the smallest integer that is 9305544 that is divisible by both numbers.

Least Common Multiple (LCM) of 3048 and 3053 is 9305544.

LCM(3048,3053) = 9305544

LCM of 3048 and 3053

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

LCM of:
and

Least Common Multiple of 3048 and 3053

LCM of 3048 and 3053 is 9305544

Least common multiple can be found by multiplying the highest exponent prime factors of 3048 and 3053. First we will calculate the prime factors of 3048 and 3053.

Prime Factorization of 3048


2 3048
2 1524
2 762
3 381
127 127
1

Prime factors of 3048 are 2, 3,127. Prime factorization of 3048 in exponential form is:

3048 = 23×31×1271

Prime Factorization of 3053


43 3053
71 71
1

Prime factors of 3053 are 43,71. Prime factorization of 3053 in exponential form is:

3053 = 431×711

Now multiplying the highest exponent prime factors to calculate the LCM of 3048 and 3053.

LCM(3048,3053) = 23×31×431×711×1271
LCM(3048,3053) = 9305544

Factors of 3048

List of positive integer factors of 3048 that divides 3048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048

Factors of 3053

List of positive integer factors of 3053 that divides 3053 without a remainder.

1, 43, 71, 3053

Least Common Multiple of 3048 and 3053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3048 and 3053, than apply into the LCM equation.

GCF(3048,3053) = 1
LCM(3048,3053) = ( 3048 × 3053) / 1
LCM(3048,3053) = 9305544 / 1
LCM(3048,3053) = 9305544

Properties of LCM 3048 and 3053

(i) The LCM of 3053 and 3048 is associative

LCM of 3048 and 3053 = LCM of 3053 and 3048

Related Least Common Multiples of 3048

Related Least Common Multiples of 3053

Frequently Asked Questions on LCM of 3048 and 3053

1. What is the LCM of 3048 and 3053?

Answer: LCM of 3048 and 3053 is 9305544.

2. What are the Factors of 3048?

Answer: Factors of 3048 are 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048. There are 16 integers that are factors of 3048. The greatest factor of 3048 is 3048.

3. What are the Factors of 3053?

Answer: Factors of 3053 are 1, 43, 71, 3053. There are 4 integers that are factors of 3053. The greatest factor of 3053 is 3053.

4. How to Find the LCM of 3048 and 3053?

Answer:

Least Common Multiple of 3048 and 3053 = 9305544

Step 1: Find the prime factorization of 3048

3048 = 2 x 2 x 2 x 3 x 127

Step 2: Find the prime factorization of 3053

3053 = 43 x 71

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

LCM = 9305544 = 2 x 2 x 2 x 3 x 43 x 71 x 127

Step 4: Therefore, the least common multiple of 3048 and 3053 is 9305544.