Least Common Multiple of 3044 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 3044 and 3051 the smallest integer that is 9287244 that is divisible by both numbers.

Least Common Multiple (LCM) of 3044 and 3051 is 9287244.

LCM(3044,3051) = 9287244

LCM of 3044 and 3051

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

LCM of:
and

Least Common Multiple of 3044 and 3051

LCM of 3044 and 3051 is 9287244

Least common multiple can be found by multiplying the highest exponent prime factors of 3044 and 3051. First we will calculate the prime factors of 3044 and 3051.

Prime Factorization of 3044


2 3044
2 1522
761 761
1

Prime factors of 3044 are 2,761. Prime factorization of 3044 in exponential form is:

3044 = 22×7611

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 3044 and 3051.

LCM(3044,3051) = 22×33×1131×7611
LCM(3044,3051) = 9287244

Factors of 3044

List of positive integer factors of 3044 that divides 3044 without a remainder.

1, 2, 4, 761, 1522, 3044

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 3044 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 3044 and 3051, than apply into the LCM equation.

GCF(3044,3051) = 1
LCM(3044,3051) = ( 3044 × 3051) / 1
LCM(3044,3051) = 9287244 / 1
LCM(3044,3051) = 9287244

Properties of LCM 3044 and 3051

(i) The LCM of 3051 and 3044 is associative

LCM of 3044 and 3051 = LCM of 3051 and 3044

Related Least Common Multiples of 3044

Related Least Common Multiples of 3051

Frequently Asked Questions on LCM of 3044 and 3051

1. What is the LCM of 3044 and 3051?

Answer: LCM of 3044 and 3051 is 9287244.

2. What are the Factors of 3044?

Answer: Factors of 3044 are 1, 2, 4, 761, 1522, 3044. There are 6 integers that are factors of 3044. The greatest factor of 3044 is 3044.

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 3044 and 3051?

Answer:

Least Common Multiple of 3044 and 3051 = 9287244

Step 1: Find the prime factorization of 3044

3044 = 2 x 2 x 761

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 = 9287244 = 2 x 2 x 3 x 3 x 3 x 113 x 761

Step 4: Therefore, the least common multiple of 3044 and 3051 is 9287244.