Least Common Multiple of 5424 and 5432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5424 and 5432 the smallest integer that is 3682896 that is divisible by both numbers.

Least Common Multiple (LCM) of 5424 and 5432 is 3682896.

LCM(5424,5432) = 3682896

LCM of 5424 and 5432

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

LCM of:
and

Least Common Multiple of 5424 and 5432

LCM of 5424 and 5432 is 3682896

Least common multiple can be found by multiplying the highest exponent prime factors of 5424 and 5432. First we will calculate the prime factors of 5424 and 5432.

Prime Factorization of 5424


2 5424
2 2712
2 1356
2 678
3 339
113 113
1

Prime factors of 5424 are 2, 3,113. Prime factorization of 5424 in exponential form is:

5424 = 24×31×1131

Prime Factorization of 5432


2 5432
2 2716
2 1358
7 679
97 97
1

Prime factors of 5432 are 2, 7,97. Prime factorization of 5432 in exponential form is:

5432 = 23×71×971

Now multiplying the highest exponent prime factors to calculate the LCM of 5424 and 5432.

LCM(5424,5432) = 24×31×71×971×1131
LCM(5424,5432) = 3682896

Factors of 5424

List of positive integer factors of 5424 that divides 5424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712, 5424

Factors of 5432

List of positive integer factors of 5432 that divides 5432 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 97, 194, 388, 679, 776, 1358, 2716, 5432

Least Common Multiple of 5424 and 5432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5424 and 5432, than apply into the LCM equation.

GCF(5424,5432) = 8
LCM(5424,5432) = ( 5424 × 5432) / 8
LCM(5424,5432) = 29463168 / 8
LCM(5424,5432) = 3682896

Properties of LCM 5424 and 5432

(i) The LCM of 5432 and 5424 is associative

LCM of 5424 and 5432 = LCM of 5432 and 5424

Related Least Common Multiples of 5424

Related Least Common Multiples of 5432

Frequently Asked Questions on LCM of 5424 and 5432

1. What is the LCM of 5424 and 5432?

Answer: LCM of 5424 and 5432 is 3682896.

2. What are the Factors of 5424?

Answer: Factors of 5424 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712, 5424. There are 20 integers that are factors of 5424. The greatest factor of 5424 is 5424.

3. What are the Factors of 5432?

Answer: Factors of 5432 are 1, 2, 4, 7, 8, 14, 28, 56, 97, 194, 388, 679, 776, 1358, 2716, 5432. There are 16 integers that are factors of 5432. The greatest factor of 5432 is 5432.

4. How to Find the LCM of 5424 and 5432?

Answer:

Least Common Multiple of 5424 and 5432 = 3682896

Step 1: Find the prime factorization of 5424

5424 = 2 x 2 x 2 x 2 x 3 x 113

Step 2: Find the prime factorization of 5432

5432 = 2 x 2 x 2 x 7 x 97

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

LCM = 3682896 = 2 x 2 x 2 x 2 x 3 x 7 x 97 x 113

Step 4: Therefore, the least common multiple of 5424 and 5432 is 3682896.