Least Common Multiple of 2971 and 2975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2971 and 2975 the smallest integer that is 8838725 that is divisible by both numbers.

Least Common Multiple (LCM) of 2971 and 2975 is 8838725.

LCM(2971,2975) = 8838725

LCM of 2971 and 2975

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

LCM of:
and

Least Common Multiple of 2971 and 2975

LCM of 2971 and 2975 is 8838725

Least common multiple can be found by multiplying the highest exponent prime factors of 2971 and 2975. First we will calculate the prime factors of 2971 and 2975.

Prime Factorization of 2971


2971 2971
1

Prime factors of 2971 are 2971. Prime factorization of 2971 in exponential form is:

2971 = 29711

Prime Factorization of 2975


5 2975
5 595
7 119
17 17
1

Prime factors of 2975 are 5, 7,17. Prime factorization of 2975 in exponential form is:

2975 = 52×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2971 and 2975.

LCM(2971,2975) = 52×71×171×29711
LCM(2971,2975) = 8838725

Factors of 2971

List of positive integer factors of 2971 that divides 2971 without a remainder.

1, 2971

Factors of 2975

List of positive integer factors of 2975 that divides 2975 without a remainder.

1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595, 2975

Least Common Multiple of 2971 and 2975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2971 and 2975, than apply into the LCM equation.

GCF(2971,2975) = 1
LCM(2971,2975) = ( 2971 × 2975) / 1
LCM(2971,2975) = 8838725 / 1
LCM(2971,2975) = 8838725

Properties of LCM 2971 and 2975

(i) The LCM of 2975 and 2971 is associative

LCM of 2971 and 2975 = LCM of 2975 and 2971

Related Least Common Multiples of 2971

Related Least Common Multiples of 2975

Frequently Asked Questions on LCM of 2971 and 2975

1. What is the LCM of 2971 and 2975?

Answer: LCM of 2971 and 2975 is 8838725.

2. What are the Factors of 2971?

Answer: Factors of 2971 are 1, 2971. There are 2 integers that are factors of 2971. The greatest factor of 2971 is 2971.

3. What are the Factors of 2975?

Answer: Factors of 2975 are 1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595, 2975. There are 12 integers that are factors of 2975. The greatest factor of 2975 is 2975.

4. How to Find the LCM of 2971 and 2975?

Answer:

Least Common Multiple of 2971 and 2975 = 8838725

Step 1: Find the prime factorization of 2971

2971 = 2971

Step 2: Find the prime factorization of 2975

2975 = 5 x 5 x 7 x 17

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

LCM = 8838725 = 5 x 5 x 7 x 17 x 2971

Step 4: Therefore, the least common multiple of 2971 and 2975 is 8838725.