Least Common Multiple of 971 and 975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 971 and 975 the smallest integer that is 946725 that is divisible by both numbers.

Least Common Multiple (LCM) of 971 and 975 is 946725.

LCM(971,975) = 946725

LCM of 971 and 975

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

LCM of:
and

Least Common Multiple of 971 and 975

LCM of 971 and 975 is 946725

Least common multiple can be found by multiplying the highest exponent prime factors of 971 and 975. First we will calculate the prime factors of 971 and 975.

Prime Factorization of 971


971 971
1

Prime factors of 971 are 971. Prime factorization of 971 in exponential form is:

971 = 9711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 971 and 975.

LCM(971,975) = 31×52×131×9711
LCM(971,975) = 946725

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1, 971

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

Least Common Multiple of 971 and 975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 971 and 975, than apply into the LCM equation.

GCF(971,975) = 1
LCM(971,975) = ( 971 × 975) / 1
LCM(971,975) = 946725 / 1
LCM(971,975) = 946725

Properties of LCM 971 and 975

(i) The LCM of 975 and 971 is associative

LCM of 971 and 975 = LCM of 975 and 971

Related Least Common Multiples of 971

Related Least Common Multiples of 975

Frequently Asked Questions on LCM of 971 and 975

1. What is the LCM of 971 and 975?

Answer: LCM of 971 and 975 is 946725.

2. What are the Factors of 971?

Answer: Factors of 971 are 1, 971. There are 2 integers that are factors of 971. The greatest factor of 971 is 971.

3. 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.

4. How to Find the LCM of 971 and 975?

Answer:

Least Common Multiple of 971 and 975 = 946725

Step 1: Find the prime factorization of 971

971 = 971

Step 2: Find the prime factorization of 975

975 = 3 x 5 x 5 x 13

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

LCM = 946725 = 3 x 5 x 5 x 13 x 971

Step 4: Therefore, the least common multiple of 971 and 975 is 946725.