Least Common Multiple of 7045 and 7049

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 7049 the smallest integer that is 49660205 that is divisible by both numbers.

Least Common Multiple (LCM) of 7045 and 7049 is 49660205.

LCM(7045,7049) = 49660205

LCM of 7045 and 7049

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

LCM of:
and

Least Common Multiple of 7045 and 7049

LCM of 7045 and 7049 is 49660205

Least common multiple can be found by multiplying the highest exponent prime factors of 7045 and 7049. First we will calculate the prime factors of 7045 and 7049.

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 7049


7 7049
19 1007
53 53
1

Prime factors of 7049 are 7, 19,53. Prime factorization of 7049 in exponential form is:

7049 = 71×191×531

Now multiplying the highest exponent prime factors to calculate the LCM of 7045 and 7049.

LCM(7045,7049) = 51×71×191×531×14091
LCM(7045,7049) = 49660205

Factors of 7045

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

1, 5, 1409, 7045

Factors of 7049

List of positive integer factors of 7049 that divides 7049 without a remainder.

1, 7, 19, 53, 133, 371, 1007, 7049

Least Common Multiple of 7045 and 7049 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 7049, than apply into the LCM equation.

GCF(7045,7049) = 1
LCM(7045,7049) = ( 7045 × 7049) / 1
LCM(7045,7049) = 49660205 / 1
LCM(7045,7049) = 49660205

Properties of LCM 7045 and 7049

(i) The LCM of 7049 and 7045 is associative

LCM of 7045 and 7049 = LCM of 7049 and 7045

Related Least Common Multiples of 7045

Related Least Common Multiples of 7049

Frequently Asked Questions on LCM of 7045 and 7049

1. What is the LCM of 7045 and 7049?

Answer: LCM of 7045 and 7049 is 49660205.

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 7049?

Answer: Factors of 7049 are 1, 7, 19, 53, 133, 371, 1007, 7049. There are 8 integers that are factors of 7049. The greatest factor of 7049 is 7049.

4. How to Find the LCM of 7045 and 7049?

Answer:

Least Common Multiple of 7045 and 7049 = 49660205

Step 1: Find the prime factorization of 7045

7045 = 5 x 1409

Step 2: Find the prime factorization of 7049

7049 = 7 x 19 x 53

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

LCM = 49660205 = 5 x 7 x 19 x 53 x 1409

Step 4: Therefore, the least common multiple of 7045 and 7049 is 49660205.