Least Common Multiple of 7045 and 7053

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7045 and 7053 the smallest integer that is 49688385 that is divisible by both numbers.

Least Common Multiple (LCM) of 7045 and 7053 is 49688385.

LCM(7045,7053) = 49688385

LCM of 7045 and 7053

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

LCM of:
and

Least Common Multiple of 7045 and 7053

LCM of 7045 and 7053 is 49688385

Least common multiple can be found by multiplying the highest exponent prime factors of 7045 and 7053. First we will calculate the prime factors of 7045 and 7053.

Prime Factorization of 7045


5 7045
1409 1409
1

Prime factors of 7045 are 5,1409. Prime factorization of 7045 in exponential form is:

7045 = 51×14091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7045 and 7053.

LCM(7045,7053) = 31×51×14091×23511
LCM(7045,7053) = 49688385

Factors of 7045

List of positive integer factors of 7045 that divides 7045 without a remainder.

1, 5, 1409, 7045

Factors of 7053

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

1, 3, 2351, 7053

Least Common Multiple of 7045 and 7053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7045 and 7053, than apply into the LCM equation.

GCF(7045,7053) = 1
LCM(7045,7053) = ( 7045 × 7053) / 1
LCM(7045,7053) = 49688385 / 1
LCM(7045,7053) = 49688385

Properties of LCM 7045 and 7053

(i) The LCM of 7053 and 7045 is associative

LCM of 7045 and 7053 = LCM of 7053 and 7045

Related Least Common Multiples of 7045

Related Least Common Multiples of 7053

Frequently Asked Questions on LCM of 7045 and 7053

1. What is the LCM of 7045 and 7053?

Answer: LCM of 7045 and 7053 is 49688385.

2. What are the Factors of 7045?

Answer: Factors of 7045 are 1, 5, 1409, 7045. There are 4 integers that are factors of 7045. The greatest factor of 7045 is 7045.

3. 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.

4. How to Find the LCM of 7045 and 7053?

Answer:

Least Common Multiple of 7045 and 7053 = 49688385

Step 1: Find the prime factorization of 7045

7045 = 5 x 1409

Step 2: Find the prime factorization of 7053

7053 = 3 x 2351

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

LCM = 49688385 = 3 x 5 x 1409 x 2351

Step 4: Therefore, the least common multiple of 7045 and 7053 is 49688385.