Least Common Multiple of 981 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 981 and 985 the smallest integer that is 966285 that is divisible by both numbers.

Least Common Multiple (LCM) of 981 and 985 is 966285.

LCM(981,985) = 966285

LCM of 981 and 985

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

LCM of:
and

Least Common Multiple of 981 and 985

LCM of 981 and 985 is 966285

Least common multiple can be found by multiplying the highest exponent prime factors of 981 and 985. First we will calculate the prime factors of 981 and 985.

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 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 981 and 985.

LCM(981,985) = 32×51×1091×1971
LCM(981,985) = 966285

Factors of 981

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

1, 3, 9, 109, 327, 981

Factors of 985

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

1, 5, 197, 985

Least Common Multiple of 981 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 981 and 985, than apply into the LCM equation.

GCF(981,985) = 1
LCM(981,985) = ( 981 × 985) / 1
LCM(981,985) = 966285 / 1
LCM(981,985) = 966285

Properties of LCM 981 and 985

(i) The LCM of 985 and 981 is associative

LCM of 981 and 985 = LCM of 985 and 981

Related Least Common Multiples of 981

Related Least Common Multiples of 985

Frequently Asked Questions on LCM of 981 and 985

1. What is the LCM of 981 and 985?

Answer: LCM of 981 and 985 is 966285.

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 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 981 and 985?

Answer:

Least Common Multiple of 981 and 985 = 966285

Step 1: Find the prime factorization of 981

981 = 3 x 3 x 109

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 = 966285 = 3 x 3 x 5 x 109 x 197

Step 4: Therefore, the least common multiple of 981 and 985 is 966285.