Least Common Multiple of 3045 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 3045 and 3052 the smallest integer that is 1327620 that is divisible by both numbers.

Least Common Multiple (LCM) of 3045 and 3052 is 1327620.

LCM(3045,3052) = 1327620

LCM of 3045 and 3052

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

LCM of:
and

Least Common Multiple of 3045 and 3052

LCM of 3045 and 3052 is 1327620

Least common multiple can be found by multiplying the highest exponent prime factors of 3045 and 3052. First we will calculate the prime factors of 3045 and 3052.

Prime Factorization of 3045


3 3045
5 1015
7 203
29 29
1

Prime factors of 3045 are 3, 5, 7,29. Prime factorization of 3045 in exponential form is:

3045 = 31×51×71×291

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 3045 and 3052.

LCM(3045,3052) = 22×31×51×71×291×1091
LCM(3045,3052) = 1327620

Factors of 3045

List of positive integer factors of 3045 that divides 3045 without a remainder.

1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015, 3045

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 3045 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 3045 and 3052, than apply into the LCM equation.

GCF(3045,3052) = 7
LCM(3045,3052) = ( 3045 × 3052) / 7
LCM(3045,3052) = 9293340 / 7
LCM(3045,3052) = 1327620

Properties of LCM 3045 and 3052

(i) The LCM of 3052 and 3045 is associative

LCM of 3045 and 3052 = LCM of 3052 and 3045

Related Least Common Multiples of 3045

Related Least Common Multiples of 3052

Frequently Asked Questions on LCM of 3045 and 3052

1. What is the LCM of 3045 and 3052?

Answer: LCM of 3045 and 3052 is 1327620.

2. What are the Factors of 3045?

Answer: Factors of 3045 are 1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015, 3045. There are 16 integers that are factors of 3045. The greatest factor of 3045 is 3045.

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 3045 and 3052?

Answer:

Least Common Multiple of 3045 and 3052 = 1327620

Step 1: Find the prime factorization of 3045

3045 = 3 x 5 x 7 x 29

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 = 1327620 = 2 x 2 x 3 x 5 x 7 x 29 x 109

Step 4: Therefore, the least common multiple of 3045 and 3052 is 1327620.