Least Common Multiple of 4945 and 4947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4945 and 4947 the smallest integer that is 24462915 that is divisible by both numbers.

Least Common Multiple (LCM) of 4945 and 4947 is 24462915.

LCM(4945,4947) = 24462915

LCM of 4945 and 4947

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

LCM of:
and

Least Common Multiple of 4945 and 4947

LCM of 4945 and 4947 is 24462915

Least common multiple can be found by multiplying the highest exponent prime factors of 4945 and 4947. First we will calculate the prime factors of 4945 and 4947.

Prime Factorization of 4945


5 4945
23 989
43 43
1

Prime factors of 4945 are 5, 23,43. Prime factorization of 4945 in exponential form is:

4945 = 51×231×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4945 and 4947.

LCM(4945,4947) = 31×51×171×231×431×971
LCM(4945,4947) = 24462915

Factors of 4945

List of positive integer factors of 4945 that divides 4945 without a remainder.

1, 5, 23, 43, 115, 215, 989, 4945

Factors of 4947

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

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

Least Common Multiple of 4945 and 4947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4945 and 4947, than apply into the LCM equation.

GCF(4945,4947) = 1
LCM(4945,4947) = ( 4945 × 4947) / 1
LCM(4945,4947) = 24462915 / 1
LCM(4945,4947) = 24462915

Properties of LCM 4945 and 4947

(i) The LCM of 4947 and 4945 is associative

LCM of 4945 and 4947 = LCM of 4947 and 4945

Related Least Common Multiples of 4945

Related Least Common Multiples of 4947

Frequently Asked Questions on LCM of 4945 and 4947

1. What is the LCM of 4945 and 4947?

Answer: LCM of 4945 and 4947 is 24462915.

2. What are the Factors of 4945?

Answer: Factors of 4945 are 1, 5, 23, 43, 115, 215, 989, 4945. There are 8 integers that are factors of 4945. The greatest factor of 4945 is 4945.

3. 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.

4. How to Find the LCM of 4945 and 4947?

Answer:

Least Common Multiple of 4945 and 4947 = 24462915

Step 1: Find the prime factorization of 4945

4945 = 5 x 23 x 43

Step 2: Find the prime factorization of 4947

4947 = 3 x 17 x 97

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

LCM = 24462915 = 3 x 5 x 17 x 23 x 43 x 97

Step 4: Therefore, the least common multiple of 4945 and 4947 is 24462915.