Least Common Multiple of 7924 and 7928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7924 and 7928 the smallest integer that is 15705368 that is divisible by both numbers.

Least Common Multiple (LCM) of 7924 and 7928 is 15705368.

LCM(7924,7928) = 15705368

LCM of 7924 and 7928

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

LCM of:
and

Least Common Multiple of 7924 and 7928

LCM of 7924 and 7928 is 15705368

Least common multiple can be found by multiplying the highest exponent prime factors of 7924 and 7928. First we will calculate the prime factors of 7924 and 7928.

Prime Factorization of 7924


2 7924
2 3962
7 1981
283 283
1

Prime factors of 7924 are 2, 7,283. Prime factorization of 7924 in exponential form is:

7924 = 22×71×2831

Prime Factorization of 7928


2 7928
2 3964
2 1982
991 991
1

Prime factors of 7928 are 2,991. Prime factorization of 7928 in exponential form is:

7928 = 23×9911

Now multiplying the highest exponent prime factors to calculate the LCM of 7924 and 7928.

LCM(7924,7928) = 23×71×2831×9911
LCM(7924,7928) = 15705368

Factors of 7924

List of positive integer factors of 7924 that divides 7924 without a remainder.

1, 2, 4, 7, 14, 28, 283, 566, 1132, 1981, 3962, 7924

Factors of 7928

List of positive integer factors of 7928 that divides 7928 without a remainder.

1, 2, 4, 8, 991, 1982, 3964, 7928

Least Common Multiple of 7924 and 7928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7924 and 7928, than apply into the LCM equation.

GCF(7924,7928) = 4
LCM(7924,7928) = ( 7924 × 7928) / 4
LCM(7924,7928) = 62821472 / 4
LCM(7924,7928) = 15705368

Properties of LCM 7924 and 7928

(i) The LCM of 7928 and 7924 is associative

LCM of 7924 and 7928 = LCM of 7928 and 7924

Related Least Common Multiples of 7924

Related Least Common Multiples of 7928

Frequently Asked Questions on LCM of 7924 and 7928

1. What is the LCM of 7924 and 7928?

Answer: LCM of 7924 and 7928 is 15705368.

2. What are the Factors of 7924?

Answer: Factors of 7924 are 1, 2, 4, 7, 14, 28, 283, 566, 1132, 1981, 3962, 7924. There are 12 integers that are factors of 7924. The greatest factor of 7924 is 7924.

3. What are the Factors of 7928?

Answer: Factors of 7928 are 1, 2, 4, 8, 991, 1982, 3964, 7928. There are 8 integers that are factors of 7928. The greatest factor of 7928 is 7928.

4. How to Find the LCM of 7924 and 7928?

Answer:

Least Common Multiple of 7924 and 7928 = 15705368

Step 1: Find the prime factorization of 7924

7924 = 2 x 2 x 7 x 283

Step 2: Find the prime factorization of 7928

7928 = 2 x 2 x 2 x 991

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

LCM = 15705368 = 2 x 2 x 2 x 7 x 283 x 991

Step 4: Therefore, the least common multiple of 7924 and 7928 is 15705368.