Least Common Multiple of 3023 and 3030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3023 and 3030 the smallest integer that is 9159690 that is divisible by both numbers.

Least Common Multiple (LCM) of 3023 and 3030 is 9159690.

LCM(3023,3030) = 9159690

LCM of 3023 and 3030

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

LCM of:
and

Least Common Multiple of 3023 and 3030

LCM of 3023 and 3030 is 9159690

Least common multiple can be found by multiplying the highest exponent prime factors of 3023 and 3030. First we will calculate the prime factors of 3023 and 3030.

Prime Factorization of 3023


3023 3023
1

Prime factors of 3023 are 3023. Prime factorization of 3023 in exponential form is:

3023 = 30231

Prime Factorization of 3030


2 3030
3 1515
5 505
101 101
1

Prime factors of 3030 are 2, 3, 5,101. Prime factorization of 3030 in exponential form is:

3030 = 21×31×51×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 3023 and 3030.

LCM(3023,3030) = 21×31×51×1011×30231
LCM(3023,3030) = 9159690

Factors of 3023

List of positive integer factors of 3023 that divides 3023 without a remainder.

1, 3023

Factors of 3030

List of positive integer factors of 3030 that divides 3030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515, 3030

Least Common Multiple of 3023 and 3030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3023 and 3030, than apply into the LCM equation.

GCF(3023,3030) = 1
LCM(3023,3030) = ( 3023 × 3030) / 1
LCM(3023,3030) = 9159690 / 1
LCM(3023,3030) = 9159690

Properties of LCM 3023 and 3030

(i) The LCM of 3030 and 3023 is associative

LCM of 3023 and 3030 = LCM of 3030 and 3023

Related Least Common Multiples of 3023

Related Least Common Multiples of 3030

Frequently Asked Questions on LCM of 3023 and 3030

1. What is the LCM of 3023 and 3030?

Answer: LCM of 3023 and 3030 is 9159690.

2. What are the Factors of 3023?

Answer: Factors of 3023 are 1, 3023. There are 2 integers that are factors of 3023. The greatest factor of 3023 is 3023.

3. What are the Factors of 3030?

Answer: Factors of 3030 are 1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515, 3030. There are 16 integers that are factors of 3030. The greatest factor of 3030 is 3030.

4. How to Find the LCM of 3023 and 3030?

Answer:

Least Common Multiple of 3023 and 3030 = 9159690

Step 1: Find the prime factorization of 3023

3023 = 3023

Step 2: Find the prime factorization of 3030

3030 = 2 x 3 x 5 x 101

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

LCM = 9159690 = 2 x 3 x 5 x 101 x 3023

Step 4: Therefore, the least common multiple of 3023 and 3030 is 9159690.