Least Common Multiple of 7403 and 7410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7403 and 7410 the smallest integer that is 54856230 that is divisible by both numbers.

Least Common Multiple (LCM) of 7403 and 7410 is 54856230.

LCM(7403,7410) = 54856230

LCM of 7403 and 7410

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

LCM of:
and

Least Common Multiple of 7403 and 7410

LCM of 7403 and 7410 is 54856230

Least common multiple can be found by multiplying the highest exponent prime factors of 7403 and 7410. First we will calculate the prime factors of 7403 and 7410.

Prime Factorization of 7403


11 7403
673 673
1

Prime factors of 7403 are 11,673. Prime factorization of 7403 in exponential form is:

7403 = 111×6731

Prime Factorization of 7410


2 7410
3 3705
5 1235
13 247
19 19
1

Prime factors of 7410 are 2, 3, 5, 13,19. Prime factorization of 7410 in exponential form is:

7410 = 21×31×51×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 7403 and 7410.

LCM(7403,7410) = 21×31×51×111×131×191×6731
LCM(7403,7410) = 54856230

Factors of 7403

List of positive integer factors of 7403 that divides 7403 without a remainder.

1, 11, 673, 7403

Factors of 7410

List of positive integer factors of 7410 that divides 7410 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 19, 26, 30, 38, 39, 57, 65, 78, 95, 114, 130, 190, 195, 247, 285, 390, 494, 570, 741, 1235, 1482, 2470, 3705, 7410

Least Common Multiple of 7403 and 7410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7403 and 7410, than apply into the LCM equation.

GCF(7403,7410) = 1
LCM(7403,7410) = ( 7403 × 7410) / 1
LCM(7403,7410) = 54856230 / 1
LCM(7403,7410) = 54856230

Properties of LCM 7403 and 7410

(i) The LCM of 7410 and 7403 is associative

LCM of 7403 and 7410 = LCM of 7410 and 7403

Related Least Common Multiples of 7403

Related Least Common Multiples of 7410

Frequently Asked Questions on LCM of 7403 and 7410

1. What is the LCM of 7403 and 7410?

Answer: LCM of 7403 and 7410 is 54856230.

2. What are the Factors of 7403?

Answer: Factors of 7403 are 1, 11, 673, 7403. There are 4 integers that are factors of 7403. The greatest factor of 7403 is 7403.

3. What are the Factors of 7410?

Answer: Factors of 7410 are 1, 2, 3, 5, 6, 10, 13, 15, 19, 26, 30, 38, 39, 57, 65, 78, 95, 114, 130, 190, 195, 247, 285, 390, 494, 570, 741, 1235, 1482, 2470, 3705, 7410. There are 32 integers that are factors of 7410. The greatest factor of 7410 is 7410.

4. How to Find the LCM of 7403 and 7410?

Answer:

Least Common Multiple of 7403 and 7410 = 54856230

Step 1: Find the prime factorization of 7403

7403 = 11 x 673

Step 2: Find the prime factorization of 7410

7410 = 2 x 3 x 5 x 13 x 19

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

LCM = 54856230 = 2 x 3 x 5 x 11 x 13 x 19 x 673

Step 4: Therefore, the least common multiple of 7403 and 7410 is 54856230.