Least Common Multiple of 4760 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 4760 and 4766 the smallest integer that is 11343080 that is divisible by both numbers.

Least Common Multiple (LCM) of 4760 and 4766 is 11343080.

LCM(4760,4766) = 11343080

LCM of 4760 and 4766

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

LCM of:
and

Least Common Multiple of 4760 and 4766

LCM of 4760 and 4766 is 11343080

Least common multiple can be found by multiplying the highest exponent prime factors of 4760 and 4766. First we will calculate the prime factors of 4760 and 4766.

Prime Factorization of 4760


2 4760
2 2380
2 1190
5 595
7 119
17 17
1

Prime factors of 4760 are 2, 5, 7,17. Prime factorization of 4760 in exponential form is:

4760 = 23×51×71×171

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 4760 and 4766.

LCM(4760,4766) = 23×51×71×171×23831
LCM(4760,4766) = 11343080

Factors of 4760

List of positive integer factors of 4760 that divides 4760 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380, 4760

Factors of 4766

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

1, 2, 2383, 4766

Least Common Multiple of 4760 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 4760 and 4766, than apply into the LCM equation.

GCF(4760,4766) = 2
LCM(4760,4766) = ( 4760 × 4766) / 2
LCM(4760,4766) = 22686160 / 2
LCM(4760,4766) = 11343080

Properties of LCM 4760 and 4766

(i) The LCM of 4766 and 4760 is associative

LCM of 4760 and 4766 = LCM of 4766 and 4760

Related Least Common Multiples of 4760

Related Least Common Multiples of 4766

Frequently Asked Questions on LCM of 4760 and 4766

1. What is the LCM of 4760 and 4766?

Answer: LCM of 4760 and 4766 is 11343080.

2. What are the Factors of 4760?

Answer: Factors of 4760 are 1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380, 4760. There are 32 integers that are factors of 4760. The greatest factor of 4760 is 4760.

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 4760 and 4766?

Answer:

Least Common Multiple of 4760 and 4766 = 11343080

Step 1: Find the prime factorization of 4760

4760 = 2 x 2 x 2 x 5 x 7 x 17

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 = 11343080 = 2 x 2 x 2 x 5 x 7 x 17 x 2383

Step 4: Therefore, the least common multiple of 4760 and 4766 is 11343080.