Least Common Multiple of 7053 and 7058

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7053 and 7058 the smallest integer that is 49780074 that is divisible by both numbers.

Least Common Multiple (LCM) of 7053 and 7058 is 49780074.

LCM(7053,7058) = 49780074

LCM of 7053 and 7058

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

LCM of:
and

Least Common Multiple of 7053 and 7058

LCM of 7053 and 7058 is 49780074

Least common multiple can be found by multiplying the highest exponent prime factors of 7053 and 7058. First we will calculate the prime factors of 7053 and 7058.

Prime Factorization of 7053


3 7053
2351 2351
1

Prime factors of 7053 are 3,2351. Prime factorization of 7053 in exponential form is:

7053 = 31×23511

Prime Factorization of 7058


2 7058
3529 3529
1

Prime factors of 7058 are 2,3529. Prime factorization of 7058 in exponential form is:

7058 = 21×35291

Now multiplying the highest exponent prime factors to calculate the LCM of 7053 and 7058.

LCM(7053,7058) = 21×31×23511×35291
LCM(7053,7058) = 49780074

Factors of 7053

List of positive integer factors of 7053 that divides 7053 without a remainder.

1, 3, 2351, 7053

Factors of 7058

List of positive integer factors of 7058 that divides 7058 without a remainder.

1, 2, 3529, 7058

Least Common Multiple of 7053 and 7058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7053 and 7058, than apply into the LCM equation.

GCF(7053,7058) = 1
LCM(7053,7058) = ( 7053 × 7058) / 1
LCM(7053,7058) = 49780074 / 1
LCM(7053,7058) = 49780074

Properties of LCM 7053 and 7058

(i) The LCM of 7058 and 7053 is associative

LCM of 7053 and 7058 = LCM of 7058 and 7053

Related Least Common Multiples of 7053

Related Least Common Multiples of 7058

Frequently Asked Questions on LCM of 7053 and 7058

1. What is the LCM of 7053 and 7058?

Answer: LCM of 7053 and 7058 is 49780074.

2. What are the Factors of 7053?

Answer: Factors of 7053 are 1, 3, 2351, 7053. There are 4 integers that are factors of 7053. The greatest factor of 7053 is 7053.

3. What are the Factors of 7058?

Answer: Factors of 7058 are 1, 2, 3529, 7058. There are 4 integers that are factors of 7058. The greatest factor of 7058 is 7058.

4. How to Find the LCM of 7053 and 7058?

Answer:

Least Common Multiple of 7053 and 7058 = 49780074

Step 1: Find the prime factorization of 7053

7053 = 3 x 2351

Step 2: Find the prime factorization of 7058

7058 = 2 x 3529

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

LCM = 49780074 = 2 x 3 x 2351 x 3529

Step 4: Therefore, the least common multiple of 7053 and 7058 is 49780074.