Least Common Multiple of 7052 and 7060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7052 and 7060 the smallest integer that is 12446780 that is divisible by both numbers.

Least Common Multiple (LCM) of 7052 and 7060 is 12446780.

LCM(7052,7060) = 12446780

LCM of 7052 and 7060

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

LCM of:
and

Least Common Multiple of 7052 and 7060

LCM of 7052 and 7060 is 12446780

Least common multiple can be found by multiplying the highest exponent prime factors of 7052 and 7060. First we will calculate the prime factors of 7052 and 7060.

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

Prime Factorization of 7060


2 7060
2 3530
5 1765
353 353
1

Prime factors of 7060 are 2, 5,353. Prime factorization of 7060 in exponential form is:

7060 = 22×51×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 7052 and 7060.

LCM(7052,7060) = 22×51×411×431×3531
LCM(7052,7060) = 12446780

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

Factors of 7060

List of positive integer factors of 7060 that divides 7060 without a remainder.

1, 2, 4, 5, 10, 20, 353, 706, 1412, 1765, 3530, 7060

Least Common Multiple of 7052 and 7060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7052 and 7060, than apply into the LCM equation.

GCF(7052,7060) = 4
LCM(7052,7060) = ( 7052 × 7060) / 4
LCM(7052,7060) = 49787120 / 4
LCM(7052,7060) = 12446780

Properties of LCM 7052 and 7060

(i) The LCM of 7060 and 7052 is associative

LCM of 7052 and 7060 = LCM of 7060 and 7052

Related Least Common Multiples of 7052

Related Least Common Multiples of 7060

Frequently Asked Questions on LCM of 7052 and 7060

1. What is the LCM of 7052 and 7060?

Answer: LCM of 7052 and 7060 is 12446780.

2. 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.

3. What are the Factors of 7060?

Answer: Factors of 7060 are 1, 2, 4, 5, 10, 20, 353, 706, 1412, 1765, 3530, 7060. There are 12 integers that are factors of 7060. The greatest factor of 7060 is 7060.

4. How to Find the LCM of 7052 and 7060?

Answer:

Least Common Multiple of 7052 and 7060 = 12446780

Step 1: Find the prime factorization of 7052

7052 = 2 x 2 x 41 x 43

Step 2: Find the prime factorization of 7060

7060 = 2 x 2 x 5 x 353

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

LCM = 12446780 = 2 x 2 x 5 x 41 x 43 x 353

Step 4: Therefore, the least common multiple of 7052 and 7060 is 12446780.