Least Common Multiple of 5924 and 5928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5924 and 5928 the smallest integer that is 8779368 that is divisible by both numbers.

Least Common Multiple (LCM) of 5924 and 5928 is 8779368.

LCM(5924,5928) = 8779368

LCM of 5924 and 5928

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

LCM of:
and

Least Common Multiple of 5924 and 5928

LCM of 5924 and 5928 is 8779368

Least common multiple can be found by multiplying the highest exponent prime factors of 5924 and 5928. First we will calculate the prime factors of 5924 and 5928.

Prime Factorization of 5924


2 5924
2 2962
1481 1481
1

Prime factors of 5924 are 2,1481. Prime factorization of 5924 in exponential form is:

5924 = 22×14811

Prime Factorization of 5928


2 5928
2 2964
2 1482
3 741
13 247
19 19
1

Prime factors of 5928 are 2, 3, 13,19. Prime factorization of 5928 in exponential form is:

5928 = 23×31×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 5924 and 5928.

LCM(5924,5928) = 23×31×131×191×14811
LCM(5924,5928) = 8779368

Factors of 5924

List of positive integer factors of 5924 that divides 5924 without a remainder.

1, 2, 4, 1481, 2962, 5924

Factors of 5928

List of positive integer factors of 5928 that divides 5928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 19, 24, 26, 38, 39, 52, 57, 76, 78, 104, 114, 152, 156, 228, 247, 312, 456, 494, 741, 988, 1482, 1976, 2964, 5928

Least Common Multiple of 5924 and 5928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5924 and 5928, than apply into the LCM equation.

GCF(5924,5928) = 4
LCM(5924,5928) = ( 5924 × 5928) / 4
LCM(5924,5928) = 35117472 / 4
LCM(5924,5928) = 8779368

Properties of LCM 5924 and 5928

(i) The LCM of 5928 and 5924 is associative

LCM of 5924 and 5928 = LCM of 5928 and 5924

Related Least Common Multiples of 5924

Related Least Common Multiples of 5928

Frequently Asked Questions on LCM of 5924 and 5928

1. What is the LCM of 5924 and 5928?

Answer: LCM of 5924 and 5928 is 8779368.

2. What are the Factors of 5924?

Answer: Factors of 5924 are 1, 2, 4, 1481, 2962, 5924. There are 6 integers that are factors of 5924. The greatest factor of 5924 is 5924.

3. What are the Factors of 5928?

Answer: Factors of 5928 are 1, 2, 3, 4, 6, 8, 12, 13, 19, 24, 26, 38, 39, 52, 57, 76, 78, 104, 114, 152, 156, 228, 247, 312, 456, 494, 741, 988, 1482, 1976, 2964, 5928. There are 32 integers that are factors of 5928. The greatest factor of 5928 is 5928.

4. How to Find the LCM of 5924 and 5928?

Answer:

Least Common Multiple of 5924 and 5928 = 8779368

Step 1: Find the prime factorization of 5924

5924 = 2 x 2 x 1481

Step 2: Find the prime factorization of 5928

5928 = 2 x 2 x 2 x 3 x 13 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 = 8779368 = 2 x 2 x 2 x 3 x 13 x 19 x 1481

Step 4: Therefore, the least common multiple of 5924 and 5928 is 8779368.