Least Common Multiple of 3042 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 3042 and 3048 the smallest integer that is 1545336 that is divisible by both numbers.

Least Common Multiple (LCM) of 3042 and 3048 is 1545336.

LCM(3042,3048) = 1545336

LCM of 3042 and 3048

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

LCM of:
and

Least Common Multiple of 3042 and 3048

LCM of 3042 and 3048 is 1545336

Least common multiple can be found by multiplying the highest exponent prime factors of 3042 and 3048. First we will calculate the prime factors of 3042 and 3048.

Prime Factorization of 3042


2 3042
3 1521
3 507
13 169
13 13
1

Prime factors of 3042 are 2, 3,13. Prime factorization of 3042 in exponential form is:

3042 = 21×32×132

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 3042 and 3048.

LCM(3042,3048) = 23×32×132×1271
LCM(3042,3048) = 1545336

Factors of 3042

List of positive integer factors of 3042 that divides 3042 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521, 3042

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 3042 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 3042 and 3048, than apply into the LCM equation.

GCF(3042,3048) = 6
LCM(3042,3048) = ( 3042 × 3048) / 6
LCM(3042,3048) = 9272016 / 6
LCM(3042,3048) = 1545336

Properties of LCM 3042 and 3048

(i) The LCM of 3048 and 3042 is associative

LCM of 3042 and 3048 = LCM of 3048 and 3042

Related Least Common Multiples of 3042

Related Least Common Multiples of 3048

Frequently Asked Questions on LCM of 3042 and 3048

1. What is the LCM of 3042 and 3048?

Answer: LCM of 3042 and 3048 is 1545336.

2. What are the Factors of 3042?

Answer: Factors of 3042 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521, 3042. There are 18 integers that are factors of 3042. The greatest factor of 3042 is 3042.

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 3042 and 3048?

Answer:

Least Common Multiple of 3042 and 3048 = 1545336

Step 1: Find the prime factorization of 3042

3042 = 2 x 3 x 3 x 13 x 13

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 = 1545336 = 2 x 2 x 2 x 3 x 3 x 13 x 13 x 127

Step 4: Therefore, the least common multiple of 3042 and 3048 is 1545336.