Least Common Multiple of 3022 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 3022 and 3030 the smallest integer that is 4578330 that is divisible by both numbers.

Least Common Multiple (LCM) of 3022 and 3030 is 4578330.

LCM(3022,3030) = 4578330

LCM of 3022 and 3030

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

LCM of:
and

Least Common Multiple of 3022 and 3030

LCM of 3022 and 3030 is 4578330

Least common multiple can be found by multiplying the highest exponent prime factors of 3022 and 3030. First we will calculate the prime factors of 3022 and 3030.

Prime Factorization of 3022


2 3022
1511 1511
1

Prime factors of 3022 are 2,1511. Prime factorization of 3022 in exponential form is:

3022 = 21×15111

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 3022 and 3030.

LCM(3022,3030) = 21×31×51×1011×15111
LCM(3022,3030) = 4578330

Factors of 3022

List of positive integer factors of 3022 that divides 3022 without a remainder.

1, 2, 1511, 3022

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 3022 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 3022 and 3030, than apply into the LCM equation.

GCF(3022,3030) = 2
LCM(3022,3030) = ( 3022 × 3030) / 2
LCM(3022,3030) = 9156660 / 2
LCM(3022,3030) = 4578330

Properties of LCM 3022 and 3030

(i) The LCM of 3030 and 3022 is associative

LCM of 3022 and 3030 = LCM of 3030 and 3022

Related Least Common Multiples of 3022

Related Least Common Multiples of 3030

Frequently Asked Questions on LCM of 3022 and 3030

1. What is the LCM of 3022 and 3030?

Answer: LCM of 3022 and 3030 is 4578330.

2. What are the Factors of 3022?

Answer: Factors of 3022 are 1, 2, 1511, 3022. There are 4 integers that are factors of 3022. The greatest factor of 3022 is 3022.

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 3022 and 3030?

Answer:

Least Common Multiple of 3022 and 3030 = 4578330

Step 1: Find the prime factorization of 3022

3022 = 2 x 1511

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 = 4578330 = 2 x 3 x 5 x 101 x 1511

Step 4: Therefore, the least common multiple of 3022 and 3030 is 4578330.