Least Common Multiple of 4758 and 4766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4758 and 4766 the smallest integer that is 11338314 that is divisible by both numbers.

Least Common Multiple (LCM) of 4758 and 4766 is 11338314.

LCM(4758,4766) = 11338314

LCM of 4758 and 4766

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

LCM of:
and

Least Common Multiple of 4758 and 4766

LCM of 4758 and 4766 is 11338314

Least common multiple can be found by multiplying the highest exponent prime factors of 4758 and 4766. First we will calculate the prime factors of 4758 and 4766.

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

Prime Factorization of 4766


2 4766
2383 2383
1

Prime factors of 4766 are 2,2383. Prime factorization of 4766 in exponential form is:

4766 = 21×23831

Now multiplying the highest exponent prime factors to calculate the LCM of 4758 and 4766.

LCM(4758,4766) = 21×31×131×611×23831
LCM(4758,4766) = 11338314

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

Factors of 4766

List of positive integer factors of 4766 that divides 4766 without a remainder.

1, 2, 2383, 4766

Least Common Multiple of 4758 and 4766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4758 and 4766, than apply into the LCM equation.

GCF(4758,4766) = 2
LCM(4758,4766) = ( 4758 × 4766) / 2
LCM(4758,4766) = 22676628 / 2
LCM(4758,4766) = 11338314

Properties of LCM 4758 and 4766

(i) The LCM of 4766 and 4758 is associative

LCM of 4758 and 4766 = LCM of 4766 and 4758

Related Least Common Multiples of 4758

Related Least Common Multiples of 4766

Frequently Asked Questions on LCM of 4758 and 4766

1. What is the LCM of 4758 and 4766?

Answer: LCM of 4758 and 4766 is 11338314.

2. 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.

3. What are the Factors of 4766?

Answer: Factors of 4766 are 1, 2, 2383, 4766. There are 4 integers that are factors of 4766. The greatest factor of 4766 is 4766.

4. How to Find the LCM of 4758 and 4766?

Answer:

Least Common Multiple of 4758 and 4766 = 11338314

Step 1: Find the prime factorization of 4758

4758 = 2 x 3 x 13 x 61

Step 2: Find the prime factorization of 4766

4766 = 2 x 2383

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

LCM = 11338314 = 2 x 3 x 13 x 61 x 2383

Step 4: Therefore, the least common multiple of 4758 and 4766 is 11338314.