Least Common Multiple of 4971 and 4973

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 4973 the smallest integer that is 24720783 that is divisible by both numbers.

Least Common Multiple (LCM) of 4971 and 4973 is 24720783.

LCM(4971,4973) = 24720783

LCM of 4971 and 4973

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

LCM of:
and

Least Common Multiple of 4971 and 4973

LCM of 4971 and 4973 is 24720783

Least common multiple can be found by multiplying the highest exponent prime factors of 4971 and 4973. First we will calculate the prime factors of 4971 and 4973.

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 4973


4973 4973
1

Prime factors of 4973 are 4973. Prime factorization of 4973 in exponential form is:

4973 = 49731

Now multiplying the highest exponent prime factors to calculate the LCM of 4971 and 4973.

LCM(4971,4973) = 31×16571×49731
LCM(4971,4973) = 24720783

Factors of 4971

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

1, 3, 1657, 4971

Factors of 4973

List of positive integer factors of 4973 that divides 4973 without a remainder.

1, 4973

Least Common Multiple of 4971 and 4973 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 4973, than apply into the LCM equation.

GCF(4971,4973) = 1
LCM(4971,4973) = ( 4971 × 4973) / 1
LCM(4971,4973) = 24720783 / 1
LCM(4971,4973) = 24720783

Properties of LCM 4971 and 4973

(i) The LCM of 4973 and 4971 is associative

LCM of 4971 and 4973 = LCM of 4973 and 4971

Related Least Common Multiples of 4971

Related Least Common Multiples of 4973

Frequently Asked Questions on LCM of 4971 and 4973

1. What is the LCM of 4971 and 4973?

Answer: LCM of 4971 and 4973 is 24720783.

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 4973?

Answer: Factors of 4973 are 1, 4973. There are 2 integers that are factors of 4973. The greatest factor of 4973 is 4973.

4. How to Find the LCM of 4971 and 4973?

Answer:

Least Common Multiple of 4971 and 4973 = 24720783

Step 1: Find the prime factorization of 4971

4971 = 3 x 1657

Step 2: Find the prime factorization of 4973

4973 = 4973

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

LCM = 24720783 = 3 x 1657 x 4973

Step 4: Therefore, the least common multiple of 4971 and 4973 is 24720783.