Least Common Multiple of 989 and 996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 989 and 996 the smallest integer that is 985044 that is divisible by both numbers.

Least Common Multiple (LCM) of 989 and 996 is 985044.

LCM(989,996) = 985044

LCM of 989 and 996

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

LCM of:
and

Least Common Multiple of 989 and 996

LCM of 989 and 996 is 985044

Least common multiple can be found by multiplying the highest exponent prime factors of 989 and 996. First we will calculate the prime factors of 989 and 996.

Prime Factorization of 989


23 989
43 43
1

Prime factors of 989 are 23,43. Prime factorization of 989 in exponential form is:

989 = 231×431

Prime Factorization of 996


2 996
2 498
3 249
83 83
1

Prime factors of 996 are 2, 3,83. Prime factorization of 996 in exponential form is:

996 = 22×31×831

Now multiplying the highest exponent prime factors to calculate the LCM of 989 and 996.

LCM(989,996) = 22×31×231×431×831
LCM(989,996) = 985044

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Least Common Multiple of 989 and 996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 989 and 996, than apply into the LCM equation.

GCF(989,996) = 1
LCM(989,996) = ( 989 × 996) / 1
LCM(989,996) = 985044 / 1
LCM(989,996) = 985044

Properties of LCM 989 and 996

(i) The LCM of 996 and 989 is associative

LCM of 989 and 996 = LCM of 996 and 989

Related Least Common Multiples of 989

Related Least Common Multiples of 996

Frequently Asked Questions on LCM of 989 and 996

1. What is the LCM of 989 and 996?

Answer: LCM of 989 and 996 is 985044.

2. What are the Factors of 989?

Answer: Factors of 989 are 1, 23, 43, 989. There are 4 integers that are factors of 989. The greatest factor of 989 is 989.

3. What are the Factors of 996?

Answer: Factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996. There are 12 integers that are factors of 996. The greatest factor of 996 is 996.

4. How to Find the LCM of 989 and 996?

Answer:

Least Common Multiple of 989 and 996 = 985044

Step 1: Find the prime factorization of 989

989 = 23 x 43

Step 2: Find the prime factorization of 996

996 = 2 x 2 x 3 x 83

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

LCM = 985044 = 2 x 2 x 3 x 23 x 43 x 83

Step 4: Therefore, the least common multiple of 989 and 996 is 985044.