Least Common Multiple of 7035 and 7040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7035 and 7040 the smallest integer that is 9905280 that is divisible by both numbers.

Least Common Multiple (LCM) of 7035 and 7040 is 9905280.

LCM(7035,7040) = 9905280

LCM of 7035 and 7040

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

LCM of:
and

Least Common Multiple of 7035 and 7040

LCM of 7035 and 7040 is 9905280

Least common multiple can be found by multiplying the highest exponent prime factors of 7035 and 7040. First we will calculate the prime factors of 7035 and 7040.

Prime Factorization of 7035


3 7035
5 2345
7 469
67 67
1

Prime factors of 7035 are 3, 5, 7,67. Prime factorization of 7035 in exponential form is:

7035 = 31×51×71×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7035 and 7040.

LCM(7035,7040) = 27×31×51×71×111×671
LCM(7035,7040) = 9905280

Factors of 7035

List of positive integer factors of 7035 that divides 7035 without a remainder.

1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035

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

Least Common Multiple of 7035 and 7040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7035 and 7040, than apply into the LCM equation.

GCF(7035,7040) = 5
LCM(7035,7040) = ( 7035 × 7040) / 5
LCM(7035,7040) = 49526400 / 5
LCM(7035,7040) = 9905280

Properties of LCM 7035 and 7040

(i) The LCM of 7040 and 7035 is associative

LCM of 7035 and 7040 = LCM of 7040 and 7035

Related Least Common Multiples of 7035

Related Least Common Multiples of 7040

Frequently Asked Questions on LCM of 7035 and 7040

1. What is the LCM of 7035 and 7040?

Answer: LCM of 7035 and 7040 is 9905280.

2. What are the Factors of 7035?

Answer: Factors of 7035 are 1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035. There are 16 integers that are factors of 7035. The greatest factor of 7035 is 7035.

3. 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.

4. How to Find the LCM of 7035 and 7040?

Answer:

Least Common Multiple of 7035 and 7040 = 9905280

Step 1: Find the prime factorization of 7035

7035 = 3 x 5 x 7 x 67

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 9905280 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 67

Step 4: Therefore, the least common multiple of 7035 and 7040 is 9905280.