Least Common Multiple of 7952 and 7959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7952 and 7959 the smallest integer that is 9041424 that is divisible by both numbers.

Least Common Multiple (LCM) of 7952 and 7959 is 9041424.

LCM(7952,7959) = 9041424

LCM of 7952 and 7959

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

LCM of:
and

Least Common Multiple of 7952 and 7959

LCM of 7952 and 7959 is 9041424

Least common multiple can be found by multiplying the highest exponent prime factors of 7952 and 7959. First we will calculate the prime factors of 7952 and 7959.

Prime Factorization of 7952


2 7952
2 3976
2 1988
2 994
7 497
71 71
1

Prime factors of 7952 are 2, 7,71. Prime factorization of 7952 in exponential form is:

7952 = 24×71×711

Prime Factorization of 7959


3 7959
7 2653
379 379
1

Prime factors of 7959 are 3, 7,379. Prime factorization of 7959 in exponential form is:

7959 = 31×71×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 7952 and 7959.

LCM(7952,7959) = 24×31×71×711×3791
LCM(7952,7959) = 9041424

Factors of 7952

List of positive integer factors of 7952 that divides 7952 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 71, 112, 142, 284, 497, 568, 994, 1136, 1988, 3976, 7952

Factors of 7959

List of positive integer factors of 7959 that divides 7959 without a remainder.

1, 3, 7, 21, 379, 1137, 2653, 7959

Least Common Multiple of 7952 and 7959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7952 and 7959, than apply into the LCM equation.

GCF(7952,7959) = 7
LCM(7952,7959) = ( 7952 × 7959) / 7
LCM(7952,7959) = 63289968 / 7
LCM(7952,7959) = 9041424

Properties of LCM 7952 and 7959

(i) The LCM of 7959 and 7952 is associative

LCM of 7952 and 7959 = LCM of 7959 and 7952

Related Least Common Multiples of 7952

Related Least Common Multiples of 7959

Frequently Asked Questions on LCM of 7952 and 7959

1. What is the LCM of 7952 and 7959?

Answer: LCM of 7952 and 7959 is 9041424.

2. What are the Factors of 7952?

Answer: Factors of 7952 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 71, 112, 142, 284, 497, 568, 994, 1136, 1988, 3976, 7952. There are 20 integers that are factors of 7952. The greatest factor of 7952 is 7952.

3. What are the Factors of 7959?

Answer: Factors of 7959 are 1, 3, 7, 21, 379, 1137, 2653, 7959. There are 8 integers that are factors of 7959. The greatest factor of 7959 is 7959.

4. How to Find the LCM of 7952 and 7959?

Answer:

Least Common Multiple of 7952 and 7959 = 9041424

Step 1: Find the prime factorization of 7952

7952 = 2 x 2 x 2 x 2 x 7 x 71

Step 2: Find the prime factorization of 7959

7959 = 3 x 7 x 379

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

LCM = 9041424 = 2 x 2 x 2 x 2 x 3 x 7 x 71 x 379

Step 4: Therefore, the least common multiple of 7952 and 7959 is 9041424.