Least Common Multiple of 7410 and 7416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7410 and 7416 the smallest integer that is 9158760 that is divisible by both numbers.

Least Common Multiple (LCM) of 7410 and 7416 is 9158760.

LCM(7410,7416) = 9158760

LCM of 7410 and 7416

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

LCM of:
and

Least Common Multiple of 7410 and 7416

LCM of 7410 and 7416 is 9158760

Least common multiple can be found by multiplying the highest exponent prime factors of 7410 and 7416. First we will calculate the prime factors of 7410 and 7416.

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

Prime Factorization of 7416


2 7416
2 3708
2 1854
3 927
3 309
103 103
1

Prime factors of 7416 are 2, 3,103. Prime factorization of 7416 in exponential form is:

7416 = 23×32×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 7410 and 7416.

LCM(7410,7416) = 23×32×51×131×191×1031
LCM(7410,7416) = 9158760

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

Factors of 7416

List of positive integer factors of 7416 that divides 7416 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 103, 206, 309, 412, 618, 824, 927, 1236, 1854, 2472, 3708, 7416

Least Common Multiple of 7410 and 7416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7410 and 7416, than apply into the LCM equation.

GCF(7410,7416) = 6
LCM(7410,7416) = ( 7410 × 7416) / 6
LCM(7410,7416) = 54952560 / 6
LCM(7410,7416) = 9158760

Properties of LCM 7410 and 7416

(i) The LCM of 7416 and 7410 is associative

LCM of 7410 and 7416 = LCM of 7416 and 7410

Related Least Common Multiples of 7410

Related Least Common Multiples of 7416

Frequently Asked Questions on LCM of 7410 and 7416

1. What is the LCM of 7410 and 7416?

Answer: LCM of 7410 and 7416 is 9158760.

2. 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.

3. What are the Factors of 7416?

Answer: Factors of 7416 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 103, 206, 309, 412, 618, 824, 927, 1236, 1854, 2472, 3708, 7416. There are 24 integers that are factors of 7416. The greatest factor of 7416 is 7416.

4. How to Find the LCM of 7410 and 7416?

Answer:

Least Common Multiple of 7410 and 7416 = 9158760

Step 1: Find the prime factorization of 7410

7410 = 2 x 3 x 5 x 13 x 19

Step 2: Find the prime factorization of 7416

7416 = 2 x 2 x 2 x 3 x 3 x 103

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

LCM = 9158760 = 2 x 2 x 2 x 3 x 3 x 5 x 13 x 19 x 103

Step 4: Therefore, the least common multiple of 7410 and 7416 is 9158760.