Least Common Multiple of 983 and 985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 983 and 985 the smallest integer that is 968255 that is divisible by both numbers.

Least Common Multiple (LCM) of 983 and 985 is 968255.

LCM(983,985) = 968255

LCM of 983 and 985

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

LCM of:
and

Least Common Multiple of 983 and 985

LCM of 983 and 985 is 968255

Least common multiple can be found by multiplying the highest exponent prime factors of 983 and 985. First we will calculate the prime factors of 983 and 985.

Prime Factorization of 983


983 983
1

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

983 = 9831

Prime Factorization of 985


5 985
197 197
1

Prime factors of 985 are 5,197. Prime factorization of 985 in exponential form is:

985 = 51×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 983 and 985.

LCM(983,985) = 51×1971×9831
LCM(983,985) = 968255

Factors of 983

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

1, 983

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Least Common Multiple of 983 and 985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 983 and 985, than apply into the LCM equation.

GCF(983,985) = 1
LCM(983,985) = ( 983 × 985) / 1
LCM(983,985) = 968255 / 1
LCM(983,985) = 968255

Properties of LCM 983 and 985

(i) The LCM of 985 and 983 is associative

LCM of 983 and 985 = LCM of 985 and 983

Related Least Common Multiples of 983

Related Least Common Multiples of 985

Frequently Asked Questions on LCM of 983 and 985

1. What is the LCM of 983 and 985?

Answer: LCM of 983 and 985 is 968255.

2. 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.

3. What are the Factors of 985?

Answer: Factors of 985 are 1, 5, 197, 985. There are 4 integers that are factors of 985. The greatest factor of 985 is 985.

4. How to Find the LCM of 983 and 985?

Answer:

Least Common Multiple of 983 and 985 = 968255

Step 1: Find the prime factorization of 983

983 = 983

Step 2: Find the prime factorization of 985

985 = 5 x 197

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

LCM = 968255 = 5 x 197 x 983

Step 4: Therefore, the least common multiple of 983 and 985 is 968255.