Least Common Multiple of 4945 and 4953

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 4953 the smallest integer that is 24492585 that is divisible by both numbers.

Least Common Multiple (LCM) of 4945 and 4953 is 24492585.

LCM(4945,4953) = 24492585

LCM of 4945 and 4953

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

LCM of:
and

Least Common Multiple of 4945 and 4953

LCM of 4945 and 4953 is 24492585

Least common multiple can be found by multiplying the highest exponent prime factors of 4945 and 4953. First we will calculate the prime factors of 4945 and 4953.

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 4953


3 4953
13 1651
127 127
1

Prime factors of 4953 are 3, 13,127. Prime factorization of 4953 in exponential form is:

4953 = 31×131×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 4945 and 4953.

LCM(4945,4953) = 31×51×131×231×431×1271
LCM(4945,4953) = 24492585

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 4953

List of positive integer factors of 4953 that divides 4953 without a remainder.

1, 3, 13, 39, 127, 381, 1651, 4953

Least Common Multiple of 4945 and 4953 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 4953, than apply into the LCM equation.

GCF(4945,4953) = 1
LCM(4945,4953) = ( 4945 × 4953) / 1
LCM(4945,4953) = 24492585 / 1
LCM(4945,4953) = 24492585

Properties of LCM 4945 and 4953

(i) The LCM of 4953 and 4945 is associative

LCM of 4945 and 4953 = LCM of 4953 and 4945

Related Least Common Multiples of 4945

Related Least Common Multiples of 4953

Frequently Asked Questions on LCM of 4945 and 4953

1. What is the LCM of 4945 and 4953?

Answer: LCM of 4945 and 4953 is 24492585.

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 4953?

Answer: Factors of 4953 are 1, 3, 13, 39, 127, 381, 1651, 4953. There are 8 integers that are factors of 4953. The greatest factor of 4953 is 4953.

4. How to Find the LCM of 4945 and 4953?

Answer:

Least Common Multiple of 4945 and 4953 = 24492585

Step 1: Find the prime factorization of 4945

4945 = 5 x 23 x 43

Step 2: Find the prime factorization of 4953

4953 = 3 x 13 x 127

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

LCM = 24492585 = 3 x 5 x 13 x 23 x 43 x 127

Step 4: Therefore, the least common multiple of 4945 and 4953 is 24492585.