Least Common Multiple of 9973 and 9979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9973 and 9979 the smallest integer that is 99520567 that is divisible by both numbers.

Least Common Multiple (LCM) of 9973 and 9979 is 99520567.

LCM(9973,9979) = 99520567

LCM of 9973 and 9979

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

LCM of:
and

Least Common Multiple of 9973 and 9979

LCM of 9973 and 9979 is 99520567

Least common multiple can be found by multiplying the highest exponent prime factors of 9973 and 9979. First we will calculate the prime factors of 9973 and 9979.

Prime Factorization of 9973


9973 9973
1

Prime factors of 9973 are 9973. Prime factorization of 9973 in exponential form is:

9973 = 99731

Prime Factorization of 9979


17 9979
587 587
1

Prime factors of 9979 are 17,587. Prime factorization of 9979 in exponential form is:

9979 = 171×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 9973 and 9979.

LCM(9973,9979) = 171×5871×99731
LCM(9973,9979) = 99520567

Factors of 9973

List of positive integer factors of 9973 that divides 9973 without a remainder.

1, 9973

Factors of 9979

List of positive integer factors of 9979 that divides 9979 without a remainder.

1, 17, 587, 9979

Least Common Multiple of 9973 and 9979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9973 and 9979, than apply into the LCM equation.

GCF(9973,9979) = 1
LCM(9973,9979) = ( 9973 × 9979) / 1
LCM(9973,9979) = 99520567 / 1
LCM(9973,9979) = 99520567

Properties of LCM 9973 and 9979

(i) The LCM of 9979 and 9973 is associative

LCM of 9973 and 9979 = LCM of 9979 and 9973

Related Least Common Multiples of 9973

Related Least Common Multiples of 9979

Frequently Asked Questions on LCM of 9973 and 9979

1. What is the LCM of 9973 and 9979?

Answer: LCM of 9973 and 9979 is 99520567.

2. What are the Factors of 9973?

Answer: Factors of 9973 are 1, 9973. There are 2 integers that are factors of 9973. The greatest factor of 9973 is 9973.

3. What are the Factors of 9979?

Answer: Factors of 9979 are 1, 17, 587, 9979. There are 4 integers that are factors of 9979. The greatest factor of 9979 is 9979.

4. How to Find the LCM of 9973 and 9979?

Answer:

Least Common Multiple of 9973 and 9979 = 99520567

Step 1: Find the prime factorization of 9973

9973 = 9973

Step 2: Find the prime factorization of 9979

9979 = 17 x 587

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

LCM = 99520567 = 17 x 587 x 9973

Step 4: Therefore, the least common multiple of 9973 and 9979 is 99520567.