Least Common Multiple of 7437 and 7443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7437 and 7443 the smallest integer that is 18451197 that is divisible by both numbers.

Least Common Multiple (LCM) of 7437 and 7443 is 18451197.

LCM(7437,7443) = 18451197

LCM of 7437 and 7443

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

LCM of:
and

Least Common Multiple of 7437 and 7443

LCM of 7437 and 7443 is 18451197

Least common multiple can be found by multiplying the highest exponent prime factors of 7437 and 7443. First we will calculate the prime factors of 7437 and 7443.

Prime Factorization of 7437


3 7437
37 2479
67 67
1

Prime factors of 7437 are 3, 37,67. Prime factorization of 7437 in exponential form is:

7437 = 31×371×671

Prime Factorization of 7443


3 7443
3 2481
827 827
1

Prime factors of 7443 are 3,827. Prime factorization of 7443 in exponential form is:

7443 = 32×8271

Now multiplying the highest exponent prime factors to calculate the LCM of 7437 and 7443.

LCM(7437,7443) = 32×371×671×8271
LCM(7437,7443) = 18451197

Factors of 7437

List of positive integer factors of 7437 that divides 7437 without a remainder.

1, 3, 37, 67, 111, 201, 2479, 7437

Factors of 7443

List of positive integer factors of 7443 that divides 7443 without a remainder.

1, 3, 9, 827, 2481, 7443

Least Common Multiple of 7437 and 7443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7437 and 7443, than apply into the LCM equation.

GCF(7437,7443) = 3
LCM(7437,7443) = ( 7437 × 7443) / 3
LCM(7437,7443) = 55353591 / 3
LCM(7437,7443) = 18451197

Properties of LCM 7437 and 7443

(i) The LCM of 7443 and 7437 is associative

LCM of 7437 and 7443 = LCM of 7443 and 7437

Related Least Common Multiples of 7437

Related Least Common Multiples of 7443

Frequently Asked Questions on LCM of 7437 and 7443

1. What is the LCM of 7437 and 7443?

Answer: LCM of 7437 and 7443 is 18451197.

2. What are the Factors of 7437?

Answer: Factors of 7437 are 1, 3, 37, 67, 111, 201, 2479, 7437. There are 8 integers that are factors of 7437. The greatest factor of 7437 is 7437.

3. What are the Factors of 7443?

Answer: Factors of 7443 are 1, 3, 9, 827, 2481, 7443. There are 6 integers that are factors of 7443. The greatest factor of 7443 is 7443.

4. How to Find the LCM of 7437 and 7443?

Answer:

Least Common Multiple of 7437 and 7443 = 18451197

Step 1: Find the prime factorization of 7437

7437 = 3 x 37 x 67

Step 2: Find the prime factorization of 7443

7443 = 3 x 3 x 827

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

LCM = 18451197 = 3 x 3 x 37 x 67 x 827

Step 4: Therefore, the least common multiple of 7437 and 7443 is 18451197.