Least Common Multiple of 3043 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 3043 and 3051 the smallest integer that is 9284193 that is divisible by both numbers.

Least Common Multiple (LCM) of 3043 and 3051 is 9284193.

LCM(3043,3051) = 9284193

LCM of 3043 and 3051

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

LCM of:
and

Least Common Multiple of 3043 and 3051

LCM of 3043 and 3051 is 9284193

Least common multiple can be found by multiplying the highest exponent prime factors of 3043 and 3051. First we will calculate the prime factors of 3043 and 3051.

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 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 3043 and 3051.

LCM(3043,3051) = 33×171×1131×1791
LCM(3043,3051) = 9284193

Factors of 3043

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

1, 17, 179, 3043

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 3043 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 3043 and 3051, than apply into the LCM equation.

GCF(3043,3051) = 1
LCM(3043,3051) = ( 3043 × 3051) / 1
LCM(3043,3051) = 9284193 / 1
LCM(3043,3051) = 9284193

Properties of LCM 3043 and 3051

(i) The LCM of 3051 and 3043 is associative

LCM of 3043 and 3051 = LCM of 3051 and 3043

Related Least Common Multiples of 3043

Related Least Common Multiples of 3051

Frequently Asked Questions on LCM of 3043 and 3051

1. What is the LCM of 3043 and 3051?

Answer: LCM of 3043 and 3051 is 9284193.

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 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 3043 and 3051?

Answer:

Least Common Multiple of 3043 and 3051 = 9284193

Step 1: Find the prime factorization of 3043

3043 = 17 x 179

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 = 9284193 = 3 x 3 x 3 x 17 x 113 x 179

Step 4: Therefore, the least common multiple of 3043 and 3051 is 9284193.