Least Common Multiple of 981 and 983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 981 and 983 the smallest integer that is 964323 that is divisible by both numbers.

Least Common Multiple (LCM) of 981 and 983 is 964323.

LCM(981,983) = 964323

LCM of 981 and 983

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

LCM of:
and

Least Common Multiple of 981 and 983

LCM of 981 and 983 is 964323

Least common multiple can be found by multiplying the highest exponent prime factors of 981 and 983. First we will calculate the prime factors of 981 and 983.

Prime Factorization of 981


3 981
3 327
109 109
1

Prime factors of 981 are 3,109. Prime factorization of 981 in exponential form is:

981 = 32×1091

Prime Factorization of 983


983 983
1

Prime factors of 983 are 983. Prime factorization of 983 in exponential form is:

983 = 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 981 and 983.

LCM(981,983) = 32×1091×9831
LCM(981,983) = 964323

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1, 983

Least Common Multiple of 981 and 983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 981 and 983, than apply into the LCM equation.

GCF(981,983) = 1
LCM(981,983) = ( 981 × 983) / 1
LCM(981,983) = 964323 / 1
LCM(981,983) = 964323

Properties of LCM 981 and 983

(i) The LCM of 983 and 981 is associative

LCM of 981 and 983 = LCM of 983 and 981

Related Least Common Multiples of 981

Related Least Common Multiples of 983

Frequently Asked Questions on LCM of 981 and 983

1. What is the LCM of 981 and 983?

Answer: LCM of 981 and 983 is 964323.

2. What are the Factors of 981?

Answer: Factors of 981 are 1, 3, 9, 109, 327, 981. There are 6 integers that are factors of 981. The greatest factor of 981 is 981.

3. What are the Factors of 983?

Answer: Factors of 983 are 1, 983. There are 2 integers that are factors of 983. The greatest factor of 983 is 983.

4. How to Find the LCM of 981 and 983?

Answer:

Least Common Multiple of 981 and 983 = 964323

Step 1: Find the prime factorization of 981

981 = 3 x 3 x 109

Step 2: Find the prime factorization of 983

983 = 983

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

LCM = 964323 = 3 x 3 x 109 x 983

Step 4: Therefore, the least common multiple of 981 and 983 is 964323.