Least Common Multiple of 7476 and 7484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7476 and 7484 the smallest integer that is 13987596 that is divisible by both numbers.

Least Common Multiple (LCM) of 7476 and 7484 is 13987596.

LCM(7476,7484) = 13987596

LCM of 7476 and 7484

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

LCM of:
and

Least Common Multiple of 7476 and 7484

LCM of 7476 and 7484 is 13987596

Least common multiple can be found by multiplying the highest exponent prime factors of 7476 and 7484. First we will calculate the prime factors of 7476 and 7484.

Prime Factorization of 7476


2 7476
2 3738
3 1869
7 623
89 89
1

Prime factors of 7476 are 2, 3, 7,89. Prime factorization of 7476 in exponential form is:

7476 = 22×31×71×891

Prime Factorization of 7484


2 7484
2 3742
1871 1871
1

Prime factors of 7484 are 2,1871. Prime factorization of 7484 in exponential form is:

7484 = 22×18711

Now multiplying the highest exponent prime factors to calculate the LCM of 7476 and 7484.

LCM(7476,7484) = 22×31×71×891×18711
LCM(7476,7484) = 13987596

Factors of 7476

List of positive integer factors of 7476 that divides 7476 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 89, 178, 267, 356, 534, 623, 1068, 1246, 1869, 2492, 3738, 7476

Factors of 7484

List of positive integer factors of 7484 that divides 7484 without a remainder.

1, 2, 4, 1871, 3742, 7484

Least Common Multiple of 7476 and 7484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7476 and 7484, than apply into the LCM equation.

GCF(7476,7484) = 4
LCM(7476,7484) = ( 7476 × 7484) / 4
LCM(7476,7484) = 55950384 / 4
LCM(7476,7484) = 13987596

Properties of LCM 7476 and 7484

(i) The LCM of 7484 and 7476 is associative

LCM of 7476 and 7484 = LCM of 7484 and 7476

Related Least Common Multiples of 7476

Related Least Common Multiples of 7484

Frequently Asked Questions on LCM of 7476 and 7484

1. What is the LCM of 7476 and 7484?

Answer: LCM of 7476 and 7484 is 13987596.

2. What are the Factors of 7476?

Answer: Factors of 7476 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 89, 178, 267, 356, 534, 623, 1068, 1246, 1869, 2492, 3738, 7476. There are 24 integers that are factors of 7476. The greatest factor of 7476 is 7476.

3. What are the Factors of 7484?

Answer: Factors of 7484 are 1, 2, 4, 1871, 3742, 7484. There are 6 integers that are factors of 7484. The greatest factor of 7484 is 7484.

4. How to Find the LCM of 7476 and 7484?

Answer:

Least Common Multiple of 7476 and 7484 = 13987596

Step 1: Find the prime factorization of 7476

7476 = 2 x 2 x 3 x 7 x 89

Step 2: Find the prime factorization of 7484

7484 = 2 x 2 x 1871

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

LCM = 13987596 = 2 x 2 x 3 x 7 x 89 x 1871

Step 4: Therefore, the least common multiple of 7476 and 7484 is 13987596.