Least Common Multiple of 4971 and 4976

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 4976 the smallest integer that is 24735696 that is divisible by both numbers.

Least Common Multiple (LCM) of 4971 and 4976 is 24735696.

LCM(4971,4976) = 24735696

LCM of 4971 and 4976

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

LCM of:
and

Least Common Multiple of 4971 and 4976

LCM of 4971 and 4976 is 24735696

Least common multiple can be found by multiplying the highest exponent prime factors of 4971 and 4976. First we will calculate the prime factors of 4971 and 4976.

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 4976


2 4976
2 2488
2 1244
2 622
311 311
1

Prime factors of 4976 are 2,311. Prime factorization of 4976 in exponential form is:

4976 = 24×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 4971 and 4976.

LCM(4971,4976) = 24×31×3111×16571
LCM(4971,4976) = 24735696

Factors of 4971

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

1, 3, 1657, 4971

Factors of 4976

List of positive integer factors of 4976 that divides 4976 without a remainder.

1, 2, 4, 8, 16, 311, 622, 1244, 2488, 4976

Least Common Multiple of 4971 and 4976 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 4976, than apply into the LCM equation.

GCF(4971,4976) = 1
LCM(4971,4976) = ( 4971 × 4976) / 1
LCM(4971,4976) = 24735696 / 1
LCM(4971,4976) = 24735696

Properties of LCM 4971 and 4976

(i) The LCM of 4976 and 4971 is associative

LCM of 4971 and 4976 = LCM of 4976 and 4971

Related Least Common Multiples of 4971

Related Least Common Multiples of 4976

Frequently Asked Questions on LCM of 4971 and 4976

1. What is the LCM of 4971 and 4976?

Answer: LCM of 4971 and 4976 is 24735696.

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 4976?

Answer: Factors of 4976 are 1, 2, 4, 8, 16, 311, 622, 1244, 2488, 4976. There are 10 integers that are factors of 4976. The greatest factor of 4976 is 4976.

4. How to Find the LCM of 4971 and 4976?

Answer:

Least Common Multiple of 4971 and 4976 = 24735696

Step 1: Find the prime factorization of 4971

4971 = 3 x 1657

Step 2: Find the prime factorization of 4976

4976 = 2 x 2 x 2 x 2 x 311

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

LCM = 24735696 = 2 x 2 x 2 x 2 x 3 x 311 x 1657

Step 4: Therefore, the least common multiple of 4971 and 4976 is 24735696.