Least Common Multiple of 7963 and 7971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7963 and 7971 the smallest integer that is 63473073 that is divisible by both numbers.

Least Common Multiple (LCM) of 7963 and 7971 is 63473073.

LCM(7963,7971) = 63473073

LCM of 7963 and 7971

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

LCM of:
and

Least Common Multiple of 7963 and 7971

LCM of 7963 and 7971 is 63473073

Least common multiple can be found by multiplying the highest exponent prime factors of 7963 and 7971. First we will calculate the prime factors of 7963 and 7971.

Prime Factorization of 7963


7963 7963
1

Prime factors of 7963 are 7963. Prime factorization of 7963 in exponential form is:

7963 = 79631

Prime Factorization of 7971


3 7971
2657 2657
1

Prime factors of 7971 are 3,2657. Prime factorization of 7971 in exponential form is:

7971 = 31×26571

Now multiplying the highest exponent prime factors to calculate the LCM of 7963 and 7971.

LCM(7963,7971) = 31×26571×79631
LCM(7963,7971) = 63473073

Factors of 7963

List of positive integer factors of 7963 that divides 7963 without a remainder.

1, 7963

Factors of 7971

List of positive integer factors of 7971 that divides 7971 without a remainder.

1, 3, 2657, 7971

Least Common Multiple of 7963 and 7971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7963 and 7971, than apply into the LCM equation.

GCF(7963,7971) = 1
LCM(7963,7971) = ( 7963 × 7971) / 1
LCM(7963,7971) = 63473073 / 1
LCM(7963,7971) = 63473073

Properties of LCM 7963 and 7971

(i) The LCM of 7971 and 7963 is associative

LCM of 7963 and 7971 = LCM of 7971 and 7963

Related Least Common Multiples of 7963

Related Least Common Multiples of 7971

Frequently Asked Questions on LCM of 7963 and 7971

1. What is the LCM of 7963 and 7971?

Answer: LCM of 7963 and 7971 is 63473073.

2. What are the Factors of 7963?

Answer: Factors of 7963 are 1, 7963. There are 2 integers that are factors of 7963. The greatest factor of 7963 is 7963.

3. What are the Factors of 7971?

Answer: Factors of 7971 are 1, 3, 2657, 7971. There are 4 integers that are factors of 7971. The greatest factor of 7971 is 7971.

4. How to Find the LCM of 7963 and 7971?

Answer:

Least Common Multiple of 7963 and 7971 = 63473073

Step 1: Find the prime factorization of 7963

7963 = 7963

Step 2: Find the prime factorization of 7971

7971 = 3 x 2657

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

LCM = 63473073 = 3 x 2657 x 7963

Step 4: Therefore, the least common multiple of 7963 and 7971 is 63473073.