Least Common Multiple of 3047 and 3052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3047 and 3052 the smallest integer that is 9299444 that is divisible by both numbers.

Least Common Multiple (LCM) of 3047 and 3052 is 9299444.

LCM(3047,3052) = 9299444

LCM of 3047 and 3052

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

LCM of:
and

Least Common Multiple of 3047 and 3052

LCM of 3047 and 3052 is 9299444

Least common multiple can be found by multiplying the highest exponent prime factors of 3047 and 3052. First we will calculate the prime factors of 3047 and 3052.

Prime Factorization of 3047


11 3047
277 277
1

Prime factors of 3047 are 11,277. Prime factorization of 3047 in exponential form is:

3047 = 111×2771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3047 and 3052.

LCM(3047,3052) = 22×71×111×1091×2771
LCM(3047,3052) = 9299444

Factors of 3047

List of positive integer factors of 3047 that divides 3047 without a remainder.

1, 11, 277, 3047

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

Least Common Multiple of 3047 and 3052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3047 and 3052, than apply into the LCM equation.

GCF(3047,3052) = 1
LCM(3047,3052) = ( 3047 × 3052) / 1
LCM(3047,3052) = 9299444 / 1
LCM(3047,3052) = 9299444

Properties of LCM 3047 and 3052

(i) The LCM of 3052 and 3047 is associative

LCM of 3047 and 3052 = LCM of 3052 and 3047

Related Least Common Multiples of 3047

Related Least Common Multiples of 3052

Frequently Asked Questions on LCM of 3047 and 3052

1. What is the LCM of 3047 and 3052?

Answer: LCM of 3047 and 3052 is 9299444.

2. What are the Factors of 3047?

Answer: Factors of 3047 are 1, 11, 277, 3047. There are 4 integers that are factors of 3047. The greatest factor of 3047 is 3047.

3. 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.

4. How to Find the LCM of 3047 and 3052?

Answer:

Least Common Multiple of 3047 and 3052 = 9299444

Step 1: Find the prime factorization of 3047

3047 = 11 x 277

Step 2: Find the prime factorization of 3052

3052 = 2 x 2 x 7 x 109

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

LCM = 9299444 = 2 x 2 x 7 x 11 x 109 x 277

Step 4: Therefore, the least common multiple of 3047 and 3052 is 9299444.