Least Common Multiple of 7921 and 7924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7921 and 7924 the smallest integer that is 62766004 that is divisible by both numbers.

Least Common Multiple (LCM) of 7921 and 7924 is 62766004.

LCM(7921,7924) = 62766004

LCM of 7921 and 7924

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

LCM of:
and

Least Common Multiple of 7921 and 7924

LCM of 7921 and 7924 is 62766004

Least common multiple can be found by multiplying the highest exponent prime factors of 7921 and 7924. First we will calculate the prime factors of 7921 and 7924.

Prime Factorization of 7921


89 7921
89 89
1

Prime factors of 7921 are 89. Prime factorization of 7921 in exponential form is:

7921 = 892

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7921 and 7924.

LCM(7921,7924) = 22×71×892×2831
LCM(7921,7924) = 62766004

Factors of 7921

List of positive integer factors of 7921 that divides 7921 without a remainder.

1, 89, 7921

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

Least Common Multiple of 7921 and 7924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7921 and 7924, than apply into the LCM equation.

GCF(7921,7924) = 1
LCM(7921,7924) = ( 7921 × 7924) / 1
LCM(7921,7924) = 62766004 / 1
LCM(7921,7924) = 62766004

Properties of LCM 7921 and 7924

(i) The LCM of 7924 and 7921 is associative

LCM of 7921 and 7924 = LCM of 7924 and 7921

Related Least Common Multiples of 7921

Related Least Common Multiples of 7924

Frequently Asked Questions on LCM of 7921 and 7924

1. What is the LCM of 7921 and 7924?

Answer: LCM of 7921 and 7924 is 62766004.

2. What are the Factors of 7921?

Answer: Factors of 7921 are 1, 89, 7921. There are 3 integers that are factors of 7921. The greatest factor of 7921 is 7921.

3. 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.

4. How to Find the LCM of 7921 and 7924?

Answer:

Least Common Multiple of 7921 and 7924 = 62766004

Step 1: Find the prime factorization of 7921

7921 = 89 x 89

Step 2: Find the prime factorization of 7924

7924 = 2 x 2 x 7 x 283

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

LCM = 62766004 = 2 x 2 x 7 x 89 x 89 x 283

Step 4: Therefore, the least common multiple of 7921 and 7924 is 62766004.