Least Common Multiple of 7979 and 7983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7979 and 7983 the smallest integer that is 63696357 that is divisible by both numbers.

Least Common Multiple (LCM) of 7979 and 7983 is 63696357.

LCM(7979,7983) = 63696357

LCM of 7979 and 7983

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

LCM of:
and

Least Common Multiple of 7979 and 7983

LCM of 7979 and 7983 is 63696357

Least common multiple can be found by multiplying the highest exponent prime factors of 7979 and 7983. First we will calculate the prime factors of 7979 and 7983.

Prime Factorization of 7979


79 7979
101 101
1

Prime factors of 7979 are 79,101. Prime factorization of 7979 in exponential form is:

7979 = 791×1011

Prime Factorization of 7983


3 7983
3 2661
887 887
1

Prime factors of 7983 are 3,887. Prime factorization of 7983 in exponential form is:

7983 = 32×8871

Now multiplying the highest exponent prime factors to calculate the LCM of 7979 and 7983.

LCM(7979,7983) = 32×791×1011×8871
LCM(7979,7983) = 63696357

Factors of 7979

List of positive integer factors of 7979 that divides 7979 without a remainder.

1, 79, 101, 7979

Factors of 7983

List of positive integer factors of 7983 that divides 7983 without a remainder.

1, 3, 9, 887, 2661, 7983

Least Common Multiple of 7979 and 7983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7979 and 7983, than apply into the LCM equation.

GCF(7979,7983) = 1
LCM(7979,7983) = ( 7979 × 7983) / 1
LCM(7979,7983) = 63696357 / 1
LCM(7979,7983) = 63696357

Properties of LCM 7979 and 7983

(i) The LCM of 7983 and 7979 is associative

LCM of 7979 and 7983 = LCM of 7983 and 7979

Related Least Common Multiples of 7979

Related Least Common Multiples of 7983

Frequently Asked Questions on LCM of 7979 and 7983

1. What is the LCM of 7979 and 7983?

Answer: LCM of 7979 and 7983 is 63696357.

2. What are the Factors of 7979?

Answer: Factors of 7979 are 1, 79, 101, 7979. There are 4 integers that are factors of 7979. The greatest factor of 7979 is 7979.

3. What are the Factors of 7983?

Answer: Factors of 7983 are 1, 3, 9, 887, 2661, 7983. There are 6 integers that are factors of 7983. The greatest factor of 7983 is 7983.

4. How to Find the LCM of 7979 and 7983?

Answer:

Least Common Multiple of 7979 and 7983 = 63696357

Step 1: Find the prime factorization of 7979

7979 = 79 x 101

Step 2: Find the prime factorization of 7983

7983 = 3 x 3 x 887

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

LCM = 63696357 = 3 x 3 x 79 x 101 x 887

Step 4: Therefore, the least common multiple of 7979 and 7983 is 63696357.