Least Common Multiple of 7040 and 7045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7040 and 7045 the smallest integer that is 9919360 that is divisible by both numbers.

Least Common Multiple (LCM) of 7040 and 7045 is 9919360.

LCM(7040,7045) = 9919360

LCM of 7040 and 7045

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

LCM of:
and

Least Common Multiple of 7040 and 7045

LCM of 7040 and 7045 is 9919360

Least common multiple can be found by multiplying the highest exponent prime factors of 7040 and 7045. First we will calculate the prime factors of 7040 and 7045.

Prime Factorization of 7040


2 7040
2 3520
2 1760
2 880
2 440
2 220
2 110
5 55
11 11
1

Prime factors of 7040 are 2, 5,11. Prime factorization of 7040 in exponential form is:

7040 = 27×51×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7040 and 7045.

LCM(7040,7045) = 27×51×111×14091
LCM(7040,7045) = 9919360

Factors of 7040

List of positive integer factors of 7040 that divides 7040 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040

Factors of 7045

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

1, 5, 1409, 7045

Least Common Multiple of 7040 and 7045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7040 and 7045, than apply into the LCM equation.

GCF(7040,7045) = 5
LCM(7040,7045) = ( 7040 × 7045) / 5
LCM(7040,7045) = 49596800 / 5
LCM(7040,7045) = 9919360

Properties of LCM 7040 and 7045

(i) The LCM of 7045 and 7040 is associative

LCM of 7040 and 7045 = LCM of 7045 and 7040

Related Least Common Multiples of 7040

Related Least Common Multiples of 7045

Frequently Asked Questions on LCM of 7040 and 7045

1. What is the LCM of 7040 and 7045?

Answer: LCM of 7040 and 7045 is 9919360.

2. What are the Factors of 7040?

Answer: Factors of 7040 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040. There are 32 integers that are factors of 7040. The greatest factor of 7040 is 7040.

3. 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.

4. How to Find the LCM of 7040 and 7045?

Answer:

Least Common Multiple of 7040 and 7045 = 9919360

Step 1: Find the prime factorization of 7040

7040 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11

Step 2: Find the prime factorization of 7045

7045 = 5 x 1409

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

LCM = 9919360 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 1409

Step 4: Therefore, the least common multiple of 7040 and 7045 is 9919360.