Least Common Multiple of 4953 and 4958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4953 and 4958 the smallest integer that is 24556974 that is divisible by both numbers.

Least Common Multiple (LCM) of 4953 and 4958 is 24556974.

LCM(4953,4958) = 24556974

LCM of 4953 and 4958

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

LCM of:
and

Least Common Multiple of 4953 and 4958

LCM of 4953 and 4958 is 24556974

Least common multiple can be found by multiplying the highest exponent prime factors of 4953 and 4958. First we will calculate the prime factors of 4953 and 4958.

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

Prime Factorization of 4958


2 4958
37 2479
67 67
1

Prime factors of 4958 are 2, 37,67. Prime factorization of 4958 in exponential form is:

4958 = 21×371×671

Now multiplying the highest exponent prime factors to calculate the LCM of 4953 and 4958.

LCM(4953,4958) = 21×31×131×371×671×1271
LCM(4953,4958) = 24556974

Factors of 4953

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

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

Factors of 4958

List of positive integer factors of 4958 that divides 4958 without a remainder.

1, 2, 37, 67, 74, 134, 2479, 4958

Least Common Multiple of 4953 and 4958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4953 and 4958, than apply into the LCM equation.

GCF(4953,4958) = 1
LCM(4953,4958) = ( 4953 × 4958) / 1
LCM(4953,4958) = 24556974 / 1
LCM(4953,4958) = 24556974

Properties of LCM 4953 and 4958

(i) The LCM of 4958 and 4953 is associative

LCM of 4953 and 4958 = LCM of 4958 and 4953

Related Least Common Multiples of 4953

Related Least Common Multiples of 4958

Frequently Asked Questions on LCM of 4953 and 4958

1. What is the LCM of 4953 and 4958?

Answer: LCM of 4953 and 4958 is 24556974.

2. 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.

3. What are the Factors of 4958?

Answer: Factors of 4958 are 1, 2, 37, 67, 74, 134, 2479, 4958. There are 8 integers that are factors of 4958. The greatest factor of 4958 is 4958.

4. How to Find the LCM of 4953 and 4958?

Answer:

Least Common Multiple of 4953 and 4958 = 24556974

Step 1: Find the prime factorization of 4953

4953 = 3 x 13 x 127

Step 2: Find the prime factorization of 4958

4958 = 2 x 37 x 67

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

LCM = 24556974 = 2 x 3 x 13 x 37 x 67 x 127

Step 4: Therefore, the least common multiple of 4953 and 4958 is 24556974.