Least Common Multiple of 7979 and 7984

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 7984 the smallest integer that is 63704336 that is divisible by both numbers.

Least Common Multiple (LCM) of 7979 and 7984 is 63704336.

LCM(7979,7984) = 63704336

LCM of 7979 and 7984

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

LCM of:
and

Least Common Multiple of 7979 and 7984

LCM of 7979 and 7984 is 63704336

Least common multiple can be found by multiplying the highest exponent prime factors of 7979 and 7984. First we will calculate the prime factors of 7979 and 7984.

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 7984


2 7984
2 3992
2 1996
2 998
499 499
1

Prime factors of 7984 are 2,499. Prime factorization of 7984 in exponential form is:

7984 = 24×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 7979 and 7984.

LCM(7979,7984) = 24×791×1011×4991
LCM(7979,7984) = 63704336

Factors of 7979

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

1, 79, 101, 7979

Factors of 7984

List of positive integer factors of 7984 that divides 7984 without a remainder.

1, 2, 4, 8, 16, 499, 998, 1996, 3992, 7984

Least Common Multiple of 7979 and 7984 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 7984, than apply into the LCM equation.

GCF(7979,7984) = 1
LCM(7979,7984) = ( 7979 × 7984) / 1
LCM(7979,7984) = 63704336 / 1
LCM(7979,7984) = 63704336

Properties of LCM 7979 and 7984

(i) The LCM of 7984 and 7979 is associative

LCM of 7979 and 7984 = LCM of 7984 and 7979

Related Least Common Multiples of 7979

Related Least Common Multiples of 7984

Frequently Asked Questions on LCM of 7979 and 7984

1. What is the LCM of 7979 and 7984?

Answer: LCM of 7979 and 7984 is 63704336.

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 7984?

Answer: Factors of 7984 are 1, 2, 4, 8, 16, 499, 998, 1996, 3992, 7984. There are 10 integers that are factors of 7984. The greatest factor of 7984 is 7984.

4. How to Find the LCM of 7979 and 7984?

Answer:

Least Common Multiple of 7979 and 7984 = 63704336

Step 1: Find the prime factorization of 7979

7979 = 79 x 101

Step 2: Find the prime factorization of 7984

7984 = 2 x 2 x 2 x 2 x 499

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

LCM = 63704336 = 2 x 2 x 2 x 2 x 79 x 101 x 499

Step 4: Therefore, the least common multiple of 7979 and 7984 is 63704336.