Least Common Multiple of 9971 and 9978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9971 and 9978 the smallest integer that is 99490638 that is divisible by both numbers.

Least Common Multiple (LCM) of 9971 and 9978 is 99490638.

LCM(9971,9978) = 99490638

LCM of 9971 and 9978

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

LCM of:
and

Least Common Multiple of 9971 and 9978

LCM of 9971 and 9978 is 99490638

Least common multiple can be found by multiplying the highest exponent prime factors of 9971 and 9978. First we will calculate the prime factors of 9971 and 9978.

Prime Factorization of 9971


13 9971
13 767
59 59
1

Prime factors of 9971 are 13,59. Prime factorization of 9971 in exponential form is:

9971 = 132×591

Prime Factorization of 9978


2 9978
3 4989
1663 1663
1

Prime factors of 9978 are 2, 3,1663. Prime factorization of 9978 in exponential form is:

9978 = 21×31×16631

Now multiplying the highest exponent prime factors to calculate the LCM of 9971 and 9978.

LCM(9971,9978) = 21×31×132×591×16631
LCM(9971,9978) = 99490638

Factors of 9971

List of positive integer factors of 9971 that divides 9971 without a remainder.

1, 13, 59, 169, 767, 9971

Factors of 9978

List of positive integer factors of 9978 that divides 9978 without a remainder.

1, 2, 3, 6, 1663, 3326, 4989, 9978

Least Common Multiple of 9971 and 9978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9971 and 9978, than apply into the LCM equation.

GCF(9971,9978) = 1
LCM(9971,9978) = ( 9971 × 9978) / 1
LCM(9971,9978) = 99490638 / 1
LCM(9971,9978) = 99490638

Properties of LCM 9971 and 9978

(i) The LCM of 9978 and 9971 is associative

LCM of 9971 and 9978 = LCM of 9978 and 9971

Related Least Common Multiples of 9971

Related Least Common Multiples of 9978

Frequently Asked Questions on LCM of 9971 and 9978

1. What is the LCM of 9971 and 9978?

Answer: LCM of 9971 and 9978 is 99490638.

2. What are the Factors of 9971?

Answer: Factors of 9971 are 1, 13, 59, 169, 767, 9971. There are 6 integers that are factors of 9971. The greatest factor of 9971 is 9971.

3. What are the Factors of 9978?

Answer: Factors of 9978 are 1, 2, 3, 6, 1663, 3326, 4989, 9978. There are 8 integers that are factors of 9978. The greatest factor of 9978 is 9978.

4. How to Find the LCM of 9971 and 9978?

Answer:

Least Common Multiple of 9971 and 9978 = 99490638

Step 1: Find the prime factorization of 9971

9971 = 13 x 13 x 59

Step 2: Find the prime factorization of 9978

9978 = 2 x 3 x 1663

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

LCM = 99490638 = 2 x 3 x 13 x 13 x 59 x 1663

Step 4: Therefore, the least common multiple of 9971 and 9978 is 99490638.