Least Common Multiple of 4971 and 4975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4971 and 4975 the smallest integer that is 24730725 that is divisible by both numbers.

Least Common Multiple (LCM) of 4971 and 4975 is 24730725.

LCM(4971,4975) = 24730725

LCM of 4971 and 4975

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

LCM of:
and

Least Common Multiple of 4971 and 4975

LCM of 4971 and 4975 is 24730725

Least common multiple can be found by multiplying the highest exponent prime factors of 4971 and 4975. First we will calculate the prime factors of 4971 and 4975.

Prime Factorization of 4971


3 4971
1657 1657
1

Prime factors of 4971 are 3,1657. Prime factorization of 4971 in exponential form is:

4971 = 31×16571

Prime Factorization of 4975


5 4975
5 995
199 199
1

Prime factors of 4975 are 5,199. Prime factorization of 4975 in exponential form is:

4975 = 52×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 4971 and 4975.

LCM(4971,4975) = 31×52×1991×16571
LCM(4971,4975) = 24730725

Factors of 4971

List of positive integer factors of 4971 that divides 4971 without a remainder.

1, 3, 1657, 4971

Factors of 4975

List of positive integer factors of 4975 that divides 4975 without a remainder.

1, 5, 25, 199, 995, 4975

Least Common Multiple of 4971 and 4975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4971 and 4975, than apply into the LCM equation.

GCF(4971,4975) = 1
LCM(4971,4975) = ( 4971 × 4975) / 1
LCM(4971,4975) = 24730725 / 1
LCM(4971,4975) = 24730725

Properties of LCM 4971 and 4975

(i) The LCM of 4975 and 4971 is associative

LCM of 4971 and 4975 = LCM of 4975 and 4971

Related Least Common Multiples of 4971

Related Least Common Multiples of 4975

Frequently Asked Questions on LCM of 4971 and 4975

1. What is the LCM of 4971 and 4975?

Answer: LCM of 4971 and 4975 is 24730725.

2. What are the Factors of 4971?

Answer: Factors of 4971 are 1, 3, 1657, 4971. There are 4 integers that are factors of 4971. The greatest factor of 4971 is 4971.

3. What are the Factors of 4975?

Answer: Factors of 4975 are 1, 5, 25, 199, 995, 4975. There are 6 integers that are factors of 4975. The greatest factor of 4975 is 4975.

4. How to Find the LCM of 4971 and 4975?

Answer:

Least Common Multiple of 4971 and 4975 = 24730725

Step 1: Find the prime factorization of 4971

4971 = 3 x 1657

Step 2: Find the prime factorization of 4975

4975 = 5 x 5 x 199

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

LCM = 24730725 = 3 x 5 x 5 x 199 x 1657

Step 4: Therefore, the least common multiple of 4971 and 4975 is 24730725.