Least Common Multiple of 4947 and 4951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4947 and 4951 the smallest integer that is 24492597 that is divisible by both numbers.

Least Common Multiple (LCM) of 4947 and 4951 is 24492597.

LCM(4947,4951) = 24492597

LCM of 4947 and 4951

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

LCM of:
and

Least Common Multiple of 4947 and 4951

LCM of 4947 and 4951 is 24492597

Least common multiple can be found by multiplying the highest exponent prime factors of 4947 and 4951. First we will calculate the prime factors of 4947 and 4951.

Prime Factorization of 4947


3 4947
17 1649
97 97
1

Prime factors of 4947 are 3, 17,97. Prime factorization of 4947 in exponential form is:

4947 = 31×171×971

Prime Factorization of 4951


4951 4951
1

Prime factors of 4951 are 4951. Prime factorization of 4951 in exponential form is:

4951 = 49511

Now multiplying the highest exponent prime factors to calculate the LCM of 4947 and 4951.

LCM(4947,4951) = 31×171×971×49511
LCM(4947,4951) = 24492597

Factors of 4947

List of positive integer factors of 4947 that divides 4947 without a remainder.

1, 3, 17, 51, 97, 291, 1649, 4947

Factors of 4951

List of positive integer factors of 4951 that divides 4951 without a remainder.

1, 4951

Least Common Multiple of 4947 and 4951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4947 and 4951, than apply into the LCM equation.

GCF(4947,4951) = 1
LCM(4947,4951) = ( 4947 × 4951) / 1
LCM(4947,4951) = 24492597 / 1
LCM(4947,4951) = 24492597

Properties of LCM 4947 and 4951

(i) The LCM of 4951 and 4947 is associative

LCM of 4947 and 4951 = LCM of 4951 and 4947

Related Least Common Multiples of 4947

Related Least Common Multiples of 4951

Frequently Asked Questions on LCM of 4947 and 4951

1. What is the LCM of 4947 and 4951?

Answer: LCM of 4947 and 4951 is 24492597.

2. What are the Factors of 4947?

Answer: Factors of 4947 are 1, 3, 17, 51, 97, 291, 1649, 4947. There are 8 integers that are factors of 4947. The greatest factor of 4947 is 4947.

3. What are the Factors of 4951?

Answer: Factors of 4951 are 1, 4951. There are 2 integers that are factors of 4951. The greatest factor of 4951 is 4951.

4. How to Find the LCM of 4947 and 4951?

Answer:

Least Common Multiple of 4947 and 4951 = 24492597

Step 1: Find the prime factorization of 4947

4947 = 3 x 17 x 97

Step 2: Find the prime factorization of 4951

4951 = 4951

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

LCM = 24492597 = 3 x 17 x 97 x 4951

Step 4: Therefore, the least common multiple of 4947 and 4951 is 24492597.