Least Common Multiple of 7048 and 7052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7048 and 7052 the smallest integer that is 12425624 that is divisible by both numbers.

Least Common Multiple (LCM) of 7048 and 7052 is 12425624.

LCM(7048,7052) = 12425624

LCM of 7048 and 7052

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

LCM of:
and

Least Common Multiple of 7048 and 7052

LCM of 7048 and 7052 is 12425624

Least common multiple can be found by multiplying the highest exponent prime factors of 7048 and 7052. First we will calculate the prime factors of 7048 and 7052.

Prime Factorization of 7048


2 7048
2 3524
2 1762
881 881
1

Prime factors of 7048 are 2,881. Prime factorization of 7048 in exponential form is:

7048 = 23×8811

Prime Factorization of 7052


2 7052
2 3526
41 1763
43 43
1

Prime factors of 7052 are 2, 41,43. Prime factorization of 7052 in exponential form is:

7052 = 22×411×431

Now multiplying the highest exponent prime factors to calculate the LCM of 7048 and 7052.

LCM(7048,7052) = 23×411×431×8811
LCM(7048,7052) = 12425624

Factors of 7048

List of positive integer factors of 7048 that divides 7048 without a remainder.

1, 2, 4, 8, 881, 1762, 3524, 7048

Factors of 7052

List of positive integer factors of 7052 that divides 7052 without a remainder.

1, 2, 4, 41, 43, 82, 86, 164, 172, 1763, 3526, 7052

Least Common Multiple of 7048 and 7052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7048 and 7052, than apply into the LCM equation.

GCF(7048,7052) = 4
LCM(7048,7052) = ( 7048 × 7052) / 4
LCM(7048,7052) = 49702496 / 4
LCM(7048,7052) = 12425624

Properties of LCM 7048 and 7052

(i) The LCM of 7052 and 7048 is associative

LCM of 7048 and 7052 = LCM of 7052 and 7048

Related Least Common Multiples of 7048

Related Least Common Multiples of 7052

Frequently Asked Questions on LCM of 7048 and 7052

1. What is the LCM of 7048 and 7052?

Answer: LCM of 7048 and 7052 is 12425624.

2. What are the Factors of 7048?

Answer: Factors of 7048 are 1, 2, 4, 8, 881, 1762, 3524, 7048. There are 8 integers that are factors of 7048. The greatest factor of 7048 is 7048.

3. What are the Factors of 7052?

Answer: Factors of 7052 are 1, 2, 4, 41, 43, 82, 86, 164, 172, 1763, 3526, 7052. There are 12 integers that are factors of 7052. The greatest factor of 7052 is 7052.

4. How to Find the LCM of 7048 and 7052?

Answer:

Least Common Multiple of 7048 and 7052 = 12425624

Step 1: Find the prime factorization of 7048

7048 = 2 x 2 x 2 x 881

Step 2: Find the prime factorization of 7052

7052 = 2 x 2 x 41 x 43

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

LCM = 12425624 = 2 x 2 x 2 x 41 x 43 x 881

Step 4: Therefore, the least common multiple of 7048 and 7052 is 12425624.