Least Common Multiple of 7952 and 7958

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 7958 the smallest integer that is 31641008 that is divisible by both numbers.

Least Common Multiple (LCM) of 7952 and 7958 is 31641008.

LCM(7952,7958) = 31641008

LCM of 7952 and 7958

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

LCM of:
and

Least Common Multiple of 7952 and 7958

LCM of 7952 and 7958 is 31641008

Least common multiple can be found by multiplying the highest exponent prime factors of 7952 and 7958. First we will calculate the prime factors of 7952 and 7958.

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 7958


2 7958
23 3979
173 173
1

Prime factors of 7958 are 2, 23,173. Prime factorization of 7958 in exponential form is:

7958 = 21×231×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 7952 and 7958.

LCM(7952,7958) = 24×71×231×711×1731
LCM(7952,7958) = 31641008

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 7958

List of positive integer factors of 7958 that divides 7958 without a remainder.

1, 2, 23, 46, 173, 346, 3979, 7958

Least Common Multiple of 7952 and 7958 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 7958, than apply into the LCM equation.

GCF(7952,7958) = 2
LCM(7952,7958) = ( 7952 × 7958) / 2
LCM(7952,7958) = 63282016 / 2
LCM(7952,7958) = 31641008

Properties of LCM 7952 and 7958

(i) The LCM of 7958 and 7952 is associative

LCM of 7952 and 7958 = LCM of 7958 and 7952

Related Least Common Multiples of 7952

Related Least Common Multiples of 7958

Frequently Asked Questions on LCM of 7952 and 7958

1. What is the LCM of 7952 and 7958?

Answer: LCM of 7952 and 7958 is 31641008.

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 7958?

Answer: Factors of 7958 are 1, 2, 23, 46, 173, 346, 3979, 7958. There are 8 integers that are factors of 7958. The greatest factor of 7958 is 7958.

4. How to Find the LCM of 7952 and 7958?

Answer:

Least Common Multiple of 7952 and 7958 = 31641008

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 7958

7958 = 2 x 23 x 173

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

LCM = 31641008 = 2 x 2 x 2 x 2 x 7 x 23 x 71 x 173

Step 4: Therefore, the least common multiple of 7952 and 7958 is 31641008.