Least Common Multiple of 7952 and 7960

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 7960 the smallest integer that is 7912240 that is divisible by both numbers.

Least Common Multiple (LCM) of 7952 and 7960 is 7912240.

LCM(7952,7960) = 7912240

LCM of 7952 and 7960

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

LCM of:
and

Least Common Multiple of 7952 and 7960

LCM of 7952 and 7960 is 7912240

Least common multiple can be found by multiplying the highest exponent prime factors of 7952 and 7960. First we will calculate the prime factors of 7952 and 7960.

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 7960


2 7960
2 3980
2 1990
5 995
199 199
1

Prime factors of 7960 are 2, 5,199. Prime factorization of 7960 in exponential form is:

7960 = 23×51×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 7952 and 7960.

LCM(7952,7960) = 24×51×71×711×1991
LCM(7952,7960) = 7912240

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 7960

List of positive integer factors of 7960 that divides 7960 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 199, 398, 796, 995, 1592, 1990, 3980, 7960

Least Common Multiple of 7952 and 7960 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 7960, than apply into the LCM equation.

GCF(7952,7960) = 8
LCM(7952,7960) = ( 7952 × 7960) / 8
LCM(7952,7960) = 63297920 / 8
LCM(7952,7960) = 7912240

Properties of LCM 7952 and 7960

(i) The LCM of 7960 and 7952 is associative

LCM of 7952 and 7960 = LCM of 7960 and 7952

Related Least Common Multiples of 7952

Related Least Common Multiples of 7960

Frequently Asked Questions on LCM of 7952 and 7960

1. What is the LCM of 7952 and 7960?

Answer: LCM of 7952 and 7960 is 7912240.

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 7960?

Answer: Factors of 7960 are 1, 2, 4, 5, 8, 10, 20, 40, 199, 398, 796, 995, 1592, 1990, 3980, 7960. There are 16 integers that are factors of 7960. The greatest factor of 7960 is 7960.

4. How to Find the LCM of 7952 and 7960?

Answer:

Least Common Multiple of 7952 and 7960 = 7912240

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 7960

7960 = 2 x 2 x 2 x 5 x 199

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

LCM = 7912240 = 2 x 2 x 2 x 2 x 5 x 7 x 71 x 199

Step 4: Therefore, the least common multiple of 7952 and 7960 is 7912240.