Least Common Multiple of 3035 and 3043

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3035 and 3043 the smallest integer that is 9235505 that is divisible by both numbers.

Least Common Multiple (LCM) of 3035 and 3043 is 9235505.

LCM(3035,3043) = 9235505

LCM of 3035 and 3043

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

LCM of:
and

Least Common Multiple of 3035 and 3043

LCM of 3035 and 3043 is 9235505

Least common multiple can be found by multiplying the highest exponent prime factors of 3035 and 3043. First we will calculate the prime factors of 3035 and 3043.

Prime Factorization of 3035


5 3035
607 607
1

Prime factors of 3035 are 5,607. Prime factorization of 3035 in exponential form is:

3035 = 51×6071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3035 and 3043.

LCM(3035,3043) = 51×171×1791×6071
LCM(3035,3043) = 9235505

Factors of 3035

List of positive integer factors of 3035 that divides 3035 without a remainder.

1, 5, 607, 3035

Factors of 3043

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

1, 17, 179, 3043

Least Common Multiple of 3035 and 3043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3035 and 3043, than apply into the LCM equation.

GCF(3035,3043) = 1
LCM(3035,3043) = ( 3035 × 3043) / 1
LCM(3035,3043) = 9235505 / 1
LCM(3035,3043) = 9235505

Properties of LCM 3035 and 3043

(i) The LCM of 3043 and 3035 is associative

LCM of 3035 and 3043 = LCM of 3043 and 3035

Related Least Common Multiples of 3035

Related Least Common Multiples of 3043

Frequently Asked Questions on LCM of 3035 and 3043

1. What is the LCM of 3035 and 3043?

Answer: LCM of 3035 and 3043 is 9235505.

2. What are the Factors of 3035?

Answer: Factors of 3035 are 1, 5, 607, 3035. There are 4 integers that are factors of 3035. The greatest factor of 3035 is 3035.

3. 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.

4. How to Find the LCM of 3035 and 3043?

Answer:

Least Common Multiple of 3035 and 3043 = 9235505

Step 1: Find the prime factorization of 3035

3035 = 5 x 607

Step 2: Find the prime factorization of 3043

3043 = 17 x 179

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

LCM = 9235505 = 5 x 17 x 179 x 607

Step 4: Therefore, the least common multiple of 3035 and 3043 is 9235505.