Least Common Multiple of 2424 and 2432

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 2432 the smallest integer that is 736896 that is divisible by both numbers.

Least Common Multiple (LCM) of 2424 and 2432 is 736896.

LCM(2424,2432) = 736896

LCM of 2424 and 2432

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

LCM of:
and

Least Common Multiple of 2424 and 2432

LCM of 2424 and 2432 is 736896

Least common multiple can be found by multiplying the highest exponent prime factors of 2424 and 2432. First we will calculate the prime factors of 2424 and 2432.

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 2432


2 2432
2 1216
2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 2432 are 2,19. Prime factorization of 2432 in exponential form is:

2432 = 27×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2424 and 2432.

LCM(2424,2432) = 27×31×191×1011
LCM(2424,2432) = 736896

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 2432

List of positive integer factors of 2432 that divides 2432 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 304, 608, 1216, 2432

Least Common Multiple of 2424 and 2432 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 2432, than apply into the LCM equation.

GCF(2424,2432) = 8
LCM(2424,2432) = ( 2424 × 2432) / 8
LCM(2424,2432) = 5895168 / 8
LCM(2424,2432) = 736896

Properties of LCM 2424 and 2432

(i) The LCM of 2432 and 2424 is associative

LCM of 2424 and 2432 = LCM of 2432 and 2424

Related Least Common Multiples of 2424

Related Least Common Multiples of 2432

Frequently Asked Questions on LCM of 2424 and 2432

1. What is the LCM of 2424 and 2432?

Answer: LCM of 2424 and 2432 is 736896.

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 2432?

Answer: Factors of 2432 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 304, 608, 1216, 2432. There are 16 integers that are factors of 2432. The greatest factor of 2432 is 2432.

4. How to Find the LCM of 2424 and 2432?

Answer:

Least Common Multiple of 2424 and 2432 = 736896

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 2432

2432 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 19

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

LCM = 736896 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19 x 101

Step 4: Therefore, the least common multiple of 2424 and 2432 is 736896.