Least Common Multiple of 981 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 981 and 987 the smallest integer that is 322749 that is divisible by both numbers.

Least Common Multiple (LCM) of 981 and 987 is 322749.

LCM(981,987) = 322749

LCM of 981 and 987

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

LCM of:
and

Least Common Multiple of 981 and 987

LCM of 981 and 987 is 322749

Least common multiple can be found by multiplying the highest exponent prime factors of 981 and 987. First we will calculate the prime factors of 981 and 987.

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 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 981 and 987.

LCM(981,987) = 32×71×471×1091
LCM(981,987) = 322749

Factors of 981

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

1, 3, 9, 109, 327, 981

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 981 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 981 and 987, than apply into the LCM equation.

GCF(981,987) = 3
LCM(981,987) = ( 981 × 987) / 3
LCM(981,987) = 968247 / 3
LCM(981,987) = 322749

Properties of LCM 981 and 987

(i) The LCM of 987 and 981 is associative

LCM of 981 and 987 = LCM of 987 and 981

Related Least Common Multiples of 981

Related Least Common Multiples of 987

Frequently Asked Questions on LCM of 981 and 987

1. What is the LCM of 981 and 987?

Answer: LCM of 981 and 987 is 322749.

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 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 981 and 987?

Answer:

Least Common Multiple of 981 and 987 = 322749

Step 1: Find the prime factorization of 981

981 = 3 x 3 x 109

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 = 322749 = 3 x 3 x 7 x 47 x 109

Step 4: Therefore, the least common multiple of 981 and 987 is 322749.