Least Common Multiple of 3043 and 3050

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 3050 the smallest integer that is 9281150 that is divisible by both numbers.

Least Common Multiple (LCM) of 3043 and 3050 is 9281150.

LCM(3043,3050) = 9281150

LCM of 3043 and 3050

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

LCM of:
and

Least Common Multiple of 3043 and 3050

LCM of 3043 and 3050 is 9281150

Least common multiple can be found by multiplying the highest exponent prime factors of 3043 and 3050. First we will calculate the prime factors of 3043 and 3050.

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 3050


2 3050
5 1525
5 305
61 61
1

Prime factors of 3050 are 2, 5,61. Prime factorization of 3050 in exponential form is:

3050 = 21×52×611

Now multiplying the highest exponent prime factors to calculate the LCM of 3043 and 3050.

LCM(3043,3050) = 21×52×171×611×1791
LCM(3043,3050) = 9281150

Factors of 3043

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

1, 17, 179, 3043

Factors of 3050

List of positive integer factors of 3050 that divides 3050 without a remainder.

1, 2, 5, 10, 25, 50, 61, 122, 305, 610, 1525, 3050

Least Common Multiple of 3043 and 3050 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 3050, than apply into the LCM equation.

GCF(3043,3050) = 1
LCM(3043,3050) = ( 3043 × 3050) / 1
LCM(3043,3050) = 9281150 / 1
LCM(3043,3050) = 9281150

Properties of LCM 3043 and 3050

(i) The LCM of 3050 and 3043 is associative

LCM of 3043 and 3050 = LCM of 3050 and 3043

Related Least Common Multiples of 3043

Related Least Common Multiples of 3050

Frequently Asked Questions on LCM of 3043 and 3050

1. What is the LCM of 3043 and 3050?

Answer: LCM of 3043 and 3050 is 9281150.

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 3050?

Answer: Factors of 3050 are 1, 2, 5, 10, 25, 50, 61, 122, 305, 610, 1525, 3050. There are 12 integers that are factors of 3050. The greatest factor of 3050 is 3050.

4. How to Find the LCM of 3043 and 3050?

Answer:

Least Common Multiple of 3043 and 3050 = 9281150

Step 1: Find the prime factorization of 3043

3043 = 17 x 179

Step 2: Find the prime factorization of 3050

3050 = 2 x 5 x 5 x 61

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

LCM = 9281150 = 2 x 5 x 5 x 17 x 61 x 179

Step 4: Therefore, the least common multiple of 3043 and 3050 is 9281150.