Least Common Multiple of 7962 and 7970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7962 and 7970 the smallest integer that is 31728570 that is divisible by both numbers.

Least Common Multiple (LCM) of 7962 and 7970 is 31728570.

LCM(7962,7970) = 31728570

LCM of 7962 and 7970

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

LCM of:
and

Least Common Multiple of 7962 and 7970

LCM of 7962 and 7970 is 31728570

Least common multiple can be found by multiplying the highest exponent prime factors of 7962 and 7970. First we will calculate the prime factors of 7962 and 7970.

Prime Factorization of 7962


2 7962
3 3981
1327 1327
1

Prime factors of 7962 are 2, 3,1327. Prime factorization of 7962 in exponential form is:

7962 = 21×31×13271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7962 and 7970.

LCM(7962,7970) = 21×31×51×7971×13271
LCM(7962,7970) = 31728570

Factors of 7962

List of positive integer factors of 7962 that divides 7962 without a remainder.

1, 2, 3, 6, 1327, 2654, 3981, 7962

Factors of 7970

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

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

Least Common Multiple of 7962 and 7970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7962 and 7970, than apply into the LCM equation.

GCF(7962,7970) = 2
LCM(7962,7970) = ( 7962 × 7970) / 2
LCM(7962,7970) = 63457140 / 2
LCM(7962,7970) = 31728570

Properties of LCM 7962 and 7970

(i) The LCM of 7970 and 7962 is associative

LCM of 7962 and 7970 = LCM of 7970 and 7962

Related Least Common Multiples of 7962

Related Least Common Multiples of 7970

Frequently Asked Questions on LCM of 7962 and 7970

1. What is the LCM of 7962 and 7970?

Answer: LCM of 7962 and 7970 is 31728570.

2. What are the Factors of 7962?

Answer: Factors of 7962 are 1, 2, 3, 6, 1327, 2654, 3981, 7962. There are 8 integers that are factors of 7962. The greatest factor of 7962 is 7962.

3. 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.

4. How to Find the LCM of 7962 and 7970?

Answer:

Least Common Multiple of 7962 and 7970 = 31728570

Step 1: Find the prime factorization of 7962

7962 = 2 x 3 x 1327

Step 2: Find the prime factorization of 7970

7970 = 2 x 5 x 797

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

LCM = 31728570 = 2 x 3 x 5 x 797 x 1327

Step 4: Therefore, the least common multiple of 7962 and 7970 is 31728570.