Least Common Multiple of 2430 and 2437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2430 and 2437 the smallest integer that is 5921910 that is divisible by both numbers.

Least Common Multiple (LCM) of 2430 and 2437 is 5921910.

LCM(2430,2437) = 5921910

LCM of 2430 and 2437

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

LCM of:
and

Least Common Multiple of 2430 and 2437

LCM of 2430 and 2437 is 5921910

Least common multiple can be found by multiplying the highest exponent prime factors of 2430 and 2437. First we will calculate the prime factors of 2430 and 2437.

Prime Factorization of 2430


2 2430
3 1215
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 2430 are 2, 3,5. Prime factorization of 2430 in exponential form is:

2430 = 21×35×51

Prime Factorization of 2437


2437 2437
1

Prime factors of 2437 are 2437. Prime factorization of 2437 in exponential form is:

2437 = 24371

Now multiplying the highest exponent prime factors to calculate the LCM of 2430 and 2437.

LCM(2430,2437) = 21×35×51×24371
LCM(2430,2437) = 5921910

Factors of 2430

List of positive integer factors of 2430 that divides 2430 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430

Factors of 2437

List of positive integer factors of 2437 that divides 2437 without a remainder.

1, 2437

Least Common Multiple of 2430 and 2437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2430 and 2437, than apply into the LCM equation.

GCF(2430,2437) = 1
LCM(2430,2437) = ( 2430 × 2437) / 1
LCM(2430,2437) = 5921910 / 1
LCM(2430,2437) = 5921910

Properties of LCM 2430 and 2437

(i) The LCM of 2437 and 2430 is associative

LCM of 2430 and 2437 = LCM of 2437 and 2430

Related Least Common Multiples of 2430

Related Least Common Multiples of 2437

Frequently Asked Questions on LCM of 2430 and 2437

1. What is the LCM of 2430 and 2437?

Answer: LCM of 2430 and 2437 is 5921910.

2. What are the Factors of 2430?

Answer: Factors of 2430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430. There are 24 integers that are factors of 2430. The greatest factor of 2430 is 2430.

3. What are the Factors of 2437?

Answer: Factors of 2437 are 1, 2437. There are 2 integers that are factors of 2437. The greatest factor of 2437 is 2437.

4. How to Find the LCM of 2430 and 2437?

Answer:

Least Common Multiple of 2430 and 2437 = 5921910

Step 1: Find the prime factorization of 2430

2430 = 2 x 3 x 3 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 2437

2437 = 2437

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

LCM = 5921910 = 2 x 3 x 3 x 3 x 3 x 3 x 5 x 2437

Step 4: Therefore, the least common multiple of 2430 and 2437 is 5921910.