Least Common Multiple of 975 and 981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 975 and 981 the smallest integer that is 318825 that is divisible by both numbers.

Least Common Multiple (LCM) of 975 and 981 is 318825.

LCM(975,981) = 318825

LCM of 975 and 981

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

LCM of:
and

Least Common Multiple of 975 and 981

LCM of 975 and 981 is 318825

Least common multiple can be found by multiplying the highest exponent prime factors of 975 and 981. First we will calculate the prime factors of 975 and 981.

Prime Factorization of 975


3 975
5 325
5 65
13 13
1

Prime factors of 975 are 3, 5,13. Prime factorization of 975 in exponential form is:

975 = 31×52×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 975 and 981.

LCM(975,981) = 32×52×131×1091
LCM(975,981) = 318825

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Factors of 981

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

1, 3, 9, 109, 327, 981

Least Common Multiple of 975 and 981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 975 and 981, than apply into the LCM equation.

GCF(975,981) = 3
LCM(975,981) = ( 975 × 981) / 3
LCM(975,981) = 956475 / 3
LCM(975,981) = 318825

Properties of LCM 975 and 981

(i) The LCM of 981 and 975 is associative

LCM of 975 and 981 = LCM of 981 and 975

Related Least Common Multiples of 975

Related Least Common Multiples of 981

Frequently Asked Questions on LCM of 975 and 981

1. What is the LCM of 975 and 981?

Answer: LCM of 975 and 981 is 318825.

2. What are the Factors of 975?

Answer: Factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975. There are 12 integers that are factors of 975. The greatest factor of 975 is 975.

3. 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.

4. How to Find the LCM of 975 and 981?

Answer:

Least Common Multiple of 975 and 981 = 318825

Step 1: Find the prime factorization of 975

975 = 3 x 5 x 5 x 13

Step 2: Find the prime factorization of 981

981 = 3 x 3 x 109

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

LCM = 318825 = 3 x 3 x 5 x 5 x 13 x 109

Step 4: Therefore, the least common multiple of 975 and 981 is 318825.