Least Common Multiple of 4754 and 4758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4754 and 4758 the smallest integer that is 11309766 that is divisible by both numbers.

Least Common Multiple (LCM) of 4754 and 4758 is 11309766.

LCM(4754,4758) = 11309766

LCM of 4754 and 4758

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

LCM of:
and

Least Common Multiple of 4754 and 4758

LCM of 4754 and 4758 is 11309766

Least common multiple can be found by multiplying the highest exponent prime factors of 4754 and 4758. First we will calculate the prime factors of 4754 and 4758.

Prime Factorization of 4754


2 4754
2377 2377
1

Prime factors of 4754 are 2,2377. Prime factorization of 4754 in exponential form is:

4754 = 21×23771

Prime Factorization of 4758


2 4758
3 2379
13 793
61 61
1

Prime factors of 4758 are 2, 3, 13,61. Prime factorization of 4758 in exponential form is:

4758 = 21×31×131×611

Now multiplying the highest exponent prime factors to calculate the LCM of 4754 and 4758.

LCM(4754,4758) = 21×31×131×611×23771
LCM(4754,4758) = 11309766

Factors of 4754

List of positive integer factors of 4754 that divides 4754 without a remainder.

1, 2, 2377, 4754

Factors of 4758

List of positive integer factors of 4758 that divides 4758 without a remainder.

1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 183, 366, 793, 1586, 2379, 4758

Least Common Multiple of 4754 and 4758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4754 and 4758, than apply into the LCM equation.

GCF(4754,4758) = 2
LCM(4754,4758) = ( 4754 × 4758) / 2
LCM(4754,4758) = 22619532 / 2
LCM(4754,4758) = 11309766

Properties of LCM 4754 and 4758

(i) The LCM of 4758 and 4754 is associative

LCM of 4754 and 4758 = LCM of 4758 and 4754

Related Least Common Multiples of 4754

Related Least Common Multiples of 4758

Frequently Asked Questions on LCM of 4754 and 4758

1. What is the LCM of 4754 and 4758?

Answer: LCM of 4754 and 4758 is 11309766.

2. What are the Factors of 4754?

Answer: Factors of 4754 are 1, 2, 2377, 4754. There are 4 integers that are factors of 4754. The greatest factor of 4754 is 4754.

3. What are the Factors of 4758?

Answer: Factors of 4758 are 1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 183, 366, 793, 1586, 2379, 4758. There are 16 integers that are factors of 4758. The greatest factor of 4758 is 4758.

4. How to Find the LCM of 4754 and 4758?

Answer:

Least Common Multiple of 4754 and 4758 = 11309766

Step 1: Find the prime factorization of 4754

4754 = 2 x 2377

Step 2: Find the prime factorization of 4758

4758 = 2 x 3 x 13 x 61

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

LCM = 11309766 = 2 x 3 x 13 x 61 x 2377

Step 4: Therefore, the least common multiple of 4754 and 4758 is 11309766.