Least Common Multiple of 985 and 987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 985 and 987 the smallest integer that is 972195 that is divisible by both numbers.

Least Common Multiple (LCM) of 985 and 987 is 972195.

LCM(985,987) = 972195

LCM of 985 and 987

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

LCM of:
and

Least Common Multiple of 985 and 987

LCM of 985 and 987 is 972195

Least common multiple can be found by multiplying the highest exponent prime factors of 985 and 987. First we will calculate the prime factors of 985 and 987.

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

Prime Factorization of 987


3 987
7 329
47 47
1

Prime factors of 987 are 3, 7,47. Prime factorization of 987 in exponential form is:

987 = 31×71×471

Now multiplying the highest exponent prime factors to calculate the LCM of 985 and 987.

LCM(985,987) = 31×51×71×471×1971
LCM(985,987) = 972195

Factors of 985

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

1, 5, 197, 985

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Least Common Multiple of 985 and 987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 985 and 987, than apply into the LCM equation.

GCF(985,987) = 1
LCM(985,987) = ( 985 × 987) / 1
LCM(985,987) = 972195 / 1
LCM(985,987) = 972195

Properties of LCM 985 and 987

(i) The LCM of 987 and 985 is associative

LCM of 985 and 987 = LCM of 987 and 985

Related Least Common Multiples of 985

Related Least Common Multiples of 987

Frequently Asked Questions on LCM of 985 and 987

1. What is the LCM of 985 and 987?

Answer: LCM of 985 and 987 is 972195.

2. 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.

3. What are the Factors of 987?

Answer: Factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987. There are 8 integers that are factors of 987. The greatest factor of 987 is 987.

4. How to Find the LCM of 985 and 987?

Answer:

Least Common Multiple of 985 and 987 = 972195

Step 1: Find the prime factorization of 985

985 = 5 x 197

Step 2: Find the prime factorization of 987

987 = 3 x 7 x 47

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

LCM = 972195 = 3 x 5 x 7 x 47 x 197

Step 4: Therefore, the least common multiple of 985 and 987 is 972195.