Least Common Multiple of 982 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 982 and 985 the smallest integer that is 967270 that is divisible by both numbers.

Least Common Multiple (LCM) of 982 and 985 is 967270.

LCM(982,985) = 967270

LCM of 982 and 985

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

LCM of:
and

Least Common Multiple of 982 and 985

LCM of 982 and 985 is 967270

Least common multiple can be found by multiplying the highest exponent prime factors of 982 and 985. First we will calculate the prime factors of 982 and 985.

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 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 982 and 985.

LCM(982,985) = 21×51×1971×4911
LCM(982,985) = 967270

Factors of 982

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

1, 2, 491, 982

Factors of 985

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

1, 5, 197, 985

Least Common Multiple of 982 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 982 and 985, than apply into the LCM equation.

GCF(982,985) = 1
LCM(982,985) = ( 982 × 985) / 1
LCM(982,985) = 967270 / 1
LCM(982,985) = 967270

Properties of LCM 982 and 985

(i) The LCM of 985 and 982 is associative

LCM of 982 and 985 = LCM of 985 and 982

Related Least Common Multiples of 982

Related Least Common Multiples of 985

Frequently Asked Questions on LCM of 982 and 985

1. What is the LCM of 982 and 985?

Answer: LCM of 982 and 985 is 967270.

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 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 982 and 985?

Answer:

Least Common Multiple of 982 and 985 = 967270

Step 1: Find the prime factorization of 982

982 = 2 x 491

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 = 967270 = 2 x 5 x 197 x 491

Step 4: Therefore, the least common multiple of 982 and 985 is 967270.