Least Common Multiple of 3043 and 3048

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3043 and 3048 the smallest integer that is 9275064 that is divisible by both numbers.

Least Common Multiple (LCM) of 3043 and 3048 is 9275064.

LCM(3043,3048) = 9275064

LCM of 3043 and 3048

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

LCM of:
and

Least Common Multiple of 3043 and 3048

LCM of 3043 and 3048 is 9275064

Least common multiple can be found by multiplying the highest exponent prime factors of 3043 and 3048. First we will calculate the prime factors of 3043 and 3048.

Prime Factorization of 3043


17 3043
179 179
1

Prime factors of 3043 are 17,179. Prime factorization of 3043 in exponential form is:

3043 = 171×1791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3043 and 3048.

LCM(3043,3048) = 23×31×171×1271×1791
LCM(3043,3048) = 9275064

Factors of 3043

List of positive integer factors of 3043 that divides 3043 without a remainder.

1, 17, 179, 3043

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

Least Common Multiple of 3043 and 3048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3043 and 3048, than apply into the LCM equation.

GCF(3043,3048) = 1
LCM(3043,3048) = ( 3043 × 3048) / 1
LCM(3043,3048) = 9275064 / 1
LCM(3043,3048) = 9275064

Properties of LCM 3043 and 3048

(i) The LCM of 3048 and 3043 is associative

LCM of 3043 and 3048 = LCM of 3048 and 3043

Related Least Common Multiples of 3043

Related Least Common Multiples of 3048

Frequently Asked Questions on LCM of 3043 and 3048

1. What is the LCM of 3043 and 3048?

Answer: LCM of 3043 and 3048 is 9275064.

2. What are the Factors of 3043?

Answer: Factors of 3043 are 1, 17, 179, 3043. There are 4 integers that are factors of 3043. The greatest factor of 3043 is 3043.

3. 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.

4. How to Find the LCM of 3043 and 3048?

Answer:

Least Common Multiple of 3043 and 3048 = 9275064

Step 1: Find the prime factorization of 3043

3043 = 17 x 179

Step 2: Find the prime factorization of 3048

3048 = 2 x 2 x 2 x 3 x 127

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

LCM = 9275064 = 2 x 2 x 2 x 3 x 17 x 127 x 179

Step 4: Therefore, the least common multiple of 3043 and 3048 is 9275064.