Least Common Multiple of 3052 and 3060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3052 and 3060 the smallest integer that is 2334780 that is divisible by both numbers.

Least Common Multiple (LCM) of 3052 and 3060 is 2334780.

LCM(3052,3060) = 2334780

LCM of 3052 and 3060

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

LCM of:
and

Least Common Multiple of 3052 and 3060

LCM of 3052 and 3060 is 2334780

Least common multiple can be found by multiplying the highest exponent prime factors of 3052 and 3060. First we will calculate the prime factors of 3052 and 3060.

Prime Factorization of 3052


2 3052
2 1526
7 763
109 109
1

Prime factors of 3052 are 2, 7,109. Prime factorization of 3052 in exponential form is:

3052 = 22×71×1091

Prime Factorization of 3060


2 3060
2 1530
3 765
3 255
5 85
17 17
1

Prime factors of 3060 are 2, 3, 5,17. Prime factorization of 3060 in exponential form is:

3060 = 22×32×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 3052 and 3060.

LCM(3052,3060) = 22×32×51×71×171×1091
LCM(3052,3060) = 2334780

Factors of 3052

List of positive integer factors of 3052 that divides 3052 without a remainder.

1, 2, 4, 7, 14, 28, 109, 218, 436, 763, 1526, 3052

Factors of 3060

List of positive integer factors of 3060 that divides 3060 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530, 3060

Least Common Multiple of 3052 and 3060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3052 and 3060, than apply into the LCM equation.

GCF(3052,3060) = 4
LCM(3052,3060) = ( 3052 × 3060) / 4
LCM(3052,3060) = 9339120 / 4
LCM(3052,3060) = 2334780

Properties of LCM 3052 and 3060

(i) The LCM of 3060 and 3052 is associative

LCM of 3052 and 3060 = LCM of 3060 and 3052

Related Least Common Multiples of 3052

Related Least Common Multiples of 3060

Frequently Asked Questions on LCM of 3052 and 3060

1. What is the LCM of 3052 and 3060?

Answer: LCM of 3052 and 3060 is 2334780.

2. What are the Factors of 3052?

Answer: Factors of 3052 are 1, 2, 4, 7, 14, 28, 109, 218, 436, 763, 1526, 3052. There are 12 integers that are factors of 3052. The greatest factor of 3052 is 3052.

3. What are the Factors of 3060?

Answer: Factors of 3060 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530, 3060. There are 36 integers that are factors of 3060. The greatest factor of 3060 is 3060.

4. How to Find the LCM of 3052 and 3060?

Answer:

Least Common Multiple of 3052 and 3060 = 2334780

Step 1: Find the prime factorization of 3052

3052 = 2 x 2 x 7 x 109

Step 2: Find the prime factorization of 3060

3060 = 2 x 2 x 3 x 3 x 5 x 17

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

LCM = 2334780 = 2 x 2 x 3 x 3 x 5 x 7 x 17 x 109

Step 4: Therefore, the least common multiple of 3052 and 3060 is 2334780.