Least Common Multiple of 3048 and 3051

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 3051 the smallest integer that is 3099816 that is divisible by both numbers.

Least Common Multiple (LCM) of 3048 and 3051 is 3099816.

LCM(3048,3051) = 3099816

LCM of 3048 and 3051

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

LCM of:
and

Least Common Multiple of 3048 and 3051

LCM of 3048 and 3051 is 3099816

Least common multiple can be found by multiplying the highest exponent prime factors of 3048 and 3051. First we will calculate the prime factors of 3048 and 3051.

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 3051


3 3051
3 1017
3 339
113 113
1

Prime factors of 3051 are 3,113. Prime factorization of 3051 in exponential form is:

3051 = 33×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 3048 and 3051.

LCM(3048,3051) = 23×33×1131×1271
LCM(3048,3051) = 3099816

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 3051

List of positive integer factors of 3051 that divides 3051 without a remainder.

1, 3, 9, 27, 113, 339, 1017, 3051

Least Common Multiple of 3048 and 3051 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 3051, than apply into the LCM equation.

GCF(3048,3051) = 3
LCM(3048,3051) = ( 3048 × 3051) / 3
LCM(3048,3051) = 9299448 / 3
LCM(3048,3051) = 3099816

Properties of LCM 3048 and 3051

(i) The LCM of 3051 and 3048 is associative

LCM of 3048 and 3051 = LCM of 3051 and 3048

Related Least Common Multiples of 3048

Related Least Common Multiples of 3051

Frequently Asked Questions on LCM of 3048 and 3051

1. What is the LCM of 3048 and 3051?

Answer: LCM of 3048 and 3051 is 3099816.

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 3051?

Answer: Factors of 3051 are 1, 3, 9, 27, 113, 339, 1017, 3051. There are 8 integers that are factors of 3051. The greatest factor of 3051 is 3051.

4. How to Find the LCM of 3048 and 3051?

Answer:

Least Common Multiple of 3048 and 3051 = 3099816

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 3051

3051 = 3 x 3 x 3 x 113

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

LCM = 3099816 = 2 x 2 x 2 x 3 x 3 x 3 x 113 x 127

Step 4: Therefore, the least common multiple of 3048 and 3051 is 3099816.