Least Common Multiple of 975 and 982

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 982 the smallest integer that is 957450 that is divisible by both numbers.

Least Common Multiple (LCM) of 975 and 982 is 957450.

LCM(975,982) = 957450

LCM of 975 and 982

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

LCM of:
and

Least Common Multiple of 975 and 982

LCM of 975 and 982 is 957450

Least common multiple can be found by multiplying the highest exponent prime factors of 975 and 982. First we will calculate the prime factors of 975 and 982.

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 982


2 982
491 491
1

Prime factors of 982 are 2,491. Prime factorization of 982 in exponential form is:

982 = 21×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 975 and 982.

LCM(975,982) = 21×31×52×131×4911
LCM(975,982) = 957450

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 982

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

1, 2, 491, 982

Least Common Multiple of 975 and 982 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 982, than apply into the LCM equation.

GCF(975,982) = 1
LCM(975,982) = ( 975 × 982) / 1
LCM(975,982) = 957450 / 1
LCM(975,982) = 957450

Properties of LCM 975 and 982

(i) The LCM of 982 and 975 is associative

LCM of 975 and 982 = LCM of 982 and 975

Related Least Common Multiples of 975

Related Least Common Multiples of 982

Frequently Asked Questions on LCM of 975 and 982

1. What is the LCM of 975 and 982?

Answer: LCM of 975 and 982 is 957450.

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 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.

4. How to Find the LCM of 975 and 982?

Answer:

Least Common Multiple of 975 and 982 = 957450

Step 1: Find the prime factorization of 975

975 = 3 x 5 x 5 x 13

Step 2: Find the prime factorization of 982

982 = 2 x 491

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

LCM = 957450 = 2 x 3 x 5 x 5 x 13 x 491

Step 4: Therefore, the least common multiple of 975 and 982 is 957450.