Least Common Multiple of 7970 and 7972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7970 and 7972 the smallest integer that is 31768420 that is divisible by both numbers.

Least Common Multiple (LCM) of 7970 and 7972 is 31768420.

LCM(7970,7972) = 31768420

LCM of 7970 and 7972

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

LCM of:
and

Least Common Multiple of 7970 and 7972

LCM of 7970 and 7972 is 31768420

Least common multiple can be found by multiplying the highest exponent prime factors of 7970 and 7972. First we will calculate the prime factors of 7970 and 7972.

Prime Factorization of 7970


2 7970
5 3985
797 797
1

Prime factors of 7970 are 2, 5,797. Prime factorization of 7970 in exponential form is:

7970 = 21×51×7971

Prime Factorization of 7972


2 7972
2 3986
1993 1993
1

Prime factors of 7972 are 2,1993. Prime factorization of 7972 in exponential form is:

7972 = 22×19931

Now multiplying the highest exponent prime factors to calculate the LCM of 7970 and 7972.

LCM(7970,7972) = 22×51×7971×19931
LCM(7970,7972) = 31768420

Factors of 7970

List of positive integer factors of 7970 that divides 7970 without a remainder.

1, 2, 5, 10, 797, 1594, 3985, 7970

Factors of 7972

List of positive integer factors of 7972 that divides 7972 without a remainder.

1, 2, 4, 1993, 3986, 7972

Least Common Multiple of 7970 and 7972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7970 and 7972, than apply into the LCM equation.

GCF(7970,7972) = 2
LCM(7970,7972) = ( 7970 × 7972) / 2
LCM(7970,7972) = 63536840 / 2
LCM(7970,7972) = 31768420

Properties of LCM 7970 and 7972

(i) The LCM of 7972 and 7970 is associative

LCM of 7970 and 7972 = LCM of 7972 and 7970

Related Least Common Multiples of 7970

Related Least Common Multiples of 7972

Frequently Asked Questions on LCM of 7970 and 7972

1. What is the LCM of 7970 and 7972?

Answer: LCM of 7970 and 7972 is 31768420.

2. What are the Factors of 7970?

Answer: Factors of 7970 are 1, 2, 5, 10, 797, 1594, 3985, 7970. There are 8 integers that are factors of 7970. The greatest factor of 7970 is 7970.

3. What are the Factors of 7972?

Answer: Factors of 7972 are 1, 2, 4, 1993, 3986, 7972. There are 6 integers that are factors of 7972. The greatest factor of 7972 is 7972.

4. How to Find the LCM of 7970 and 7972?

Answer:

Least Common Multiple of 7970 and 7972 = 31768420

Step 1: Find the prime factorization of 7970

7970 = 2 x 5 x 797

Step 2: Find the prime factorization of 7972

7972 = 2 x 2 x 1993

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

LCM = 31768420 = 2 x 2 x 5 x 797 x 1993

Step 4: Therefore, the least common multiple of 7970 and 7972 is 31768420.