Least Common Multiple of 982 and 989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 982 and 989 the smallest integer that is 971198 that is divisible by both numbers.

Least Common Multiple (LCM) of 982 and 989 is 971198.

LCM(982,989) = 971198

LCM of 982 and 989

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

LCM of:
and

Least Common Multiple of 982 and 989

LCM of 982 and 989 is 971198

Least common multiple can be found by multiplying the highest exponent prime factors of 982 and 989. First we will calculate the prime factors of 982 and 989.

Prime Factorization of 982


2 982
491 491
1

Prime factors of 982 are 2,491. Prime factorization of 982 in exponential form is:

982 = 21×4911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 982 and 989.

LCM(982,989) = 21×231×431×4911
LCM(982,989) = 971198

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Factors of 989

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

1, 23, 43, 989

Least Common Multiple of 982 and 989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 982 and 989, than apply into the LCM equation.

GCF(982,989) = 1
LCM(982,989) = ( 982 × 989) / 1
LCM(982,989) = 971198 / 1
LCM(982,989) = 971198

Properties of LCM 982 and 989

(i) The LCM of 989 and 982 is associative

LCM of 982 and 989 = LCM of 989 and 982

Related Least Common Multiples of 982

Related Least Common Multiples of 989

Frequently Asked Questions on LCM of 982 and 989

1. What is the LCM of 982 and 989?

Answer: LCM of 982 and 989 is 971198.

2. What are the Factors of 982?

Answer: Factors of 982 are 1, 2, 491, 982. There are 4 integers that are factors of 982. The greatest factor of 982 is 982.

3. 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.

4. How to Find the LCM of 982 and 989?

Answer:

Least Common Multiple of 982 and 989 = 971198

Step 1: Find the prime factorization of 982

982 = 2 x 491

Step 2: Find the prime factorization of 989

989 = 23 x 43

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

LCM = 971198 = 2 x 23 x 43 x 491

Step 4: Therefore, the least common multiple of 982 and 989 is 971198.