Least Common Multiple of 7405 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 7405 and 7410 the smallest integer that is 10974210 that is divisible by both numbers.

Least Common Multiple (LCM) of 7405 and 7410 is 10974210.

LCM(7405,7410) = 10974210

LCM of 7405 and 7410

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

LCM of:
and

Least Common Multiple of 7405 and 7410

LCM of 7405 and 7410 is 10974210

Least common multiple can be found by multiplying the highest exponent prime factors of 7405 and 7410. First we will calculate the prime factors of 7405 and 7410.

Prime Factorization of 7405


5 7405
1481 1481
1

Prime factors of 7405 are 5,1481. Prime factorization of 7405 in exponential form is:

7405 = 51×14811

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 7405 and 7410.

LCM(7405,7410) = 21×31×51×131×191×14811
LCM(7405,7410) = 10974210

Factors of 7405

List of positive integer factors of 7405 that divides 7405 without a remainder.

1, 5, 1481, 7405

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 7405 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 7405 and 7410, than apply into the LCM equation.

GCF(7405,7410) = 5
LCM(7405,7410) = ( 7405 × 7410) / 5
LCM(7405,7410) = 54871050 / 5
LCM(7405,7410) = 10974210

Properties of LCM 7405 and 7410

(i) The LCM of 7410 and 7405 is associative

LCM of 7405 and 7410 = LCM of 7410 and 7405

Related Least Common Multiples of 7405

Related Least Common Multiples of 7410

Frequently Asked Questions on LCM of 7405 and 7410

1. What is the LCM of 7405 and 7410?

Answer: LCM of 7405 and 7410 is 10974210.

2. What are the Factors of 7405?

Answer: Factors of 7405 are 1, 5, 1481, 7405. There are 4 integers that are factors of 7405. The greatest factor of 7405 is 7405.

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 7405 and 7410?

Answer:

Least Common Multiple of 7405 and 7410 = 10974210

Step 1: Find the prime factorization of 7405

7405 = 5 x 1481

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 = 10974210 = 2 x 3 x 5 x 13 x 19 x 1481

Step 4: Therefore, the least common multiple of 7405 and 7410 is 10974210.