Least Common Multiple of 2424 and 2430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2424 and 2430 the smallest integer that is 981720 that is divisible by both numbers.

Least Common Multiple (LCM) of 2424 and 2430 is 981720.

LCM(2424,2430) = 981720

LCM of 2424 and 2430

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

LCM of:
and

Least Common Multiple of 2424 and 2430

LCM of 2424 and 2430 is 981720

Least common multiple can be found by multiplying the highest exponent prime factors of 2424 and 2430. First we will calculate the prime factors of 2424 and 2430.

Prime Factorization of 2424


2 2424
2 1212
2 606
3 303
101 101
1

Prime factors of 2424 are 2, 3,101. Prime factorization of 2424 in exponential form is:

2424 = 23×31×1011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2424 and 2430.

LCM(2424,2430) = 23×35×51×1011
LCM(2424,2430) = 981720

Factors of 2424

List of positive integer factors of 2424 that divides 2424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212, 2424

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

Least Common Multiple of 2424 and 2430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2424 and 2430, than apply into the LCM equation.

GCF(2424,2430) = 6
LCM(2424,2430) = ( 2424 × 2430) / 6
LCM(2424,2430) = 5890320 / 6
LCM(2424,2430) = 981720

Properties of LCM 2424 and 2430

(i) The LCM of 2430 and 2424 is associative

LCM of 2424 and 2430 = LCM of 2430 and 2424

Related Least Common Multiples of 2424

Related Least Common Multiples of 2430

Frequently Asked Questions on LCM of 2424 and 2430

1. What is the LCM of 2424 and 2430?

Answer: LCM of 2424 and 2430 is 981720.

2. What are the Factors of 2424?

Answer: Factors of 2424 are 1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212, 2424. There are 16 integers that are factors of 2424. The greatest factor of 2424 is 2424.

3. 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.

4. How to Find the LCM of 2424 and 2430?

Answer:

Least Common Multiple of 2424 and 2430 = 981720

Step 1: Find the prime factorization of 2424

2424 = 2 x 2 x 2 x 3 x 101

Step 2: Find the prime factorization of 2430

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

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

LCM = 981720 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 101

Step 4: Therefore, the least common multiple of 2424 and 2430 is 981720.