Least Common Multiple of 3048 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 3048 and 3052 the smallest integer that is 2325624 that is divisible by both numbers.

Least Common Multiple (LCM) of 3048 and 3052 is 2325624.

LCM(3048,3052) = 2325624

LCM of 3048 and 3052

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

LCM of:
and

Least Common Multiple of 3048 and 3052

LCM of 3048 and 3052 is 2325624

Least common multiple can be found by multiplying the highest exponent prime factors of 3048 and 3052. First we will calculate the prime factors of 3048 and 3052.

Prime Factorization of 3048


2 3048
2 1524
2 762
3 381
127 127
1

Prime factors of 3048 are 2, 3,127. Prime factorization of 3048 in exponential form is:

3048 = 23×31×1271

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 3048 and 3052.

LCM(3048,3052) = 23×31×71×1091×1271
LCM(3048,3052) = 2325624

Factors of 3048

List of positive integer factors of 3048 that divides 3048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048

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 3048 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 3048 and 3052, than apply into the LCM equation.

GCF(3048,3052) = 4
LCM(3048,3052) = ( 3048 × 3052) / 4
LCM(3048,3052) = 9302496 / 4
LCM(3048,3052) = 2325624

Properties of LCM 3048 and 3052

(i) The LCM of 3052 and 3048 is associative

LCM of 3048 and 3052 = LCM of 3052 and 3048

Related Least Common Multiples of 3048

Related Least Common Multiples of 3052

Frequently Asked Questions on LCM of 3048 and 3052

1. What is the LCM of 3048 and 3052?

Answer: LCM of 3048 and 3052 is 2325624.

2. What are the Factors of 3048?

Answer: Factors of 3048 are 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048. There are 16 integers that are factors of 3048. The greatest factor of 3048 is 3048.

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 3048 and 3052?

Answer:

Least Common Multiple of 3048 and 3052 = 2325624

Step 1: Find the prime factorization of 3048

3048 = 2 x 2 x 2 x 3 x 127

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 = 2325624 = 2 x 2 x 2 x 3 x 7 x 109 x 127

Step 4: Therefore, the least common multiple of 3048 and 3052 is 2325624.