Least Common Multiple of 7952 and 7954

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 7954 the smallest integer that is 31625104 that is divisible by both numbers.

Least Common Multiple (LCM) of 7952 and 7954 is 31625104.

LCM(7952,7954) = 31625104

LCM of 7952 and 7954

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

LCM of:
and

Least Common Multiple of 7952 and 7954

LCM of 7952 and 7954 is 31625104

Least common multiple can be found by multiplying the highest exponent prime factors of 7952 and 7954. First we will calculate the prime factors of 7952 and 7954.

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 7954


2 7954
41 3977
97 97
1

Prime factors of 7954 are 2, 41,97. Prime factorization of 7954 in exponential form is:

7954 = 21×411×971

Now multiplying the highest exponent prime factors to calculate the LCM of 7952 and 7954.

LCM(7952,7954) = 24×71×411×711×971
LCM(7952,7954) = 31625104

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 7954

List of positive integer factors of 7954 that divides 7954 without a remainder.

1, 2, 41, 82, 97, 194, 3977, 7954

Least Common Multiple of 7952 and 7954 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 7954, than apply into the LCM equation.

GCF(7952,7954) = 2
LCM(7952,7954) = ( 7952 × 7954) / 2
LCM(7952,7954) = 63250208 / 2
LCM(7952,7954) = 31625104

Properties of LCM 7952 and 7954

(i) The LCM of 7954 and 7952 is associative

LCM of 7952 and 7954 = LCM of 7954 and 7952

Related Least Common Multiples of 7952

Related Least Common Multiples of 7954

Frequently Asked Questions on LCM of 7952 and 7954

1. What is the LCM of 7952 and 7954?

Answer: LCM of 7952 and 7954 is 31625104.

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 7954?

Answer: Factors of 7954 are 1, 2, 41, 82, 97, 194, 3977, 7954. There are 8 integers that are factors of 7954. The greatest factor of 7954 is 7954.

4. How to Find the LCM of 7952 and 7954?

Answer:

Least Common Multiple of 7952 and 7954 = 31625104

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 7954

7954 = 2 x 41 x 97

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

LCM = 31625104 = 2 x 2 x 2 x 2 x 7 x 41 x 71 x 97

Step 4: Therefore, the least common multiple of 7952 and 7954 is 31625104.