Least Common Multiple of 989 and 990

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 990 the smallest integer that is 979110 that is divisible by both numbers.

Least Common Multiple (LCM) of 989 and 990 is 979110.

LCM(989,990) = 979110

LCM of 989 and 990

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

LCM of:
and

Least Common Multiple of 989 and 990

LCM of 989 and 990 is 979110

Least common multiple can be found by multiplying the highest exponent prime factors of 989 and 990. First we will calculate the prime factors of 989 and 990.

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 990


2 990
3 495
3 165
5 55
11 11
1

Prime factors of 990 are 2, 3, 5,11. Prime factorization of 990 in exponential form is:

990 = 21×32×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 989 and 990.

LCM(989,990) = 21×32×51×111×231×431
LCM(989,990) = 979110

Factors of 989

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

1, 23, 43, 989

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Least Common Multiple of 989 and 990 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 990, than apply into the LCM equation.

GCF(989,990) = 1
LCM(989,990) = ( 989 × 990) / 1
LCM(989,990) = 979110 / 1
LCM(989,990) = 979110

Properties of LCM 989 and 990

(i) The LCM of 990 and 989 is associative

LCM of 989 and 990 = LCM of 990 and 989

Related Least Common Multiples of 989

Related Least Common Multiples of 990

Frequently Asked Questions on LCM of 989 and 990

1. What is the LCM of 989 and 990?

Answer: LCM of 989 and 990 is 979110.

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 990?

Answer: Factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990. There are 24 integers that are factors of 990. The greatest factor of 990 is 990.

4. How to Find the LCM of 989 and 990?

Answer:

Least Common Multiple of 989 and 990 = 979110

Step 1: Find the prime factorization of 989

989 = 23 x 43

Step 2: Find the prime factorization of 990

990 = 2 x 3 x 3 x 5 x 11

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

LCM = 979110 = 2 x 3 x 3 x 5 x 11 x 23 x 43

Step 4: Therefore, the least common multiple of 989 and 990 is 979110.