Least Common Multiple of 4761 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 4761 and 4766 the smallest integer that is 22690926 that is divisible by both numbers.

Least Common Multiple (LCM) of 4761 and 4766 is 22690926.

LCM(4761,4766) = 22690926

LCM of 4761 and 4766

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

LCM of:
and

Least Common Multiple of 4761 and 4766

LCM of 4761 and 4766 is 22690926

Least common multiple can be found by multiplying the highest exponent prime factors of 4761 and 4766. First we will calculate the prime factors of 4761 and 4766.

Prime Factorization of 4761


3 4761
3 1587
23 529
23 23
1

Prime factors of 4761 are 3,23. Prime factorization of 4761 in exponential form is:

4761 = 32×232

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 4761 and 4766.

LCM(4761,4766) = 21×32×232×23831
LCM(4761,4766) = 22690926

Factors of 4761

List of positive integer factors of 4761 that divides 4761 without a remainder.

1, 3, 9, 23, 69, 207, 529, 1587, 4761

Factors of 4766

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

1, 2, 2383, 4766

Least Common Multiple of 4761 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 4761 and 4766, than apply into the LCM equation.

GCF(4761,4766) = 1
LCM(4761,4766) = ( 4761 × 4766) / 1
LCM(4761,4766) = 22690926 / 1
LCM(4761,4766) = 22690926

Properties of LCM 4761 and 4766

(i) The LCM of 4766 and 4761 is associative

LCM of 4761 and 4766 = LCM of 4766 and 4761

Related Least Common Multiples of 4761

Related Least Common Multiples of 4766

Frequently Asked Questions on LCM of 4761 and 4766

1. What is the LCM of 4761 and 4766?

Answer: LCM of 4761 and 4766 is 22690926.

2. What are the Factors of 4761?

Answer: Factors of 4761 are 1, 3, 9, 23, 69, 207, 529, 1587, 4761. There are 9 integers that are factors of 4761. The greatest factor of 4761 is 4761.

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 4761 and 4766?

Answer:

Least Common Multiple of 4761 and 4766 = 22690926

Step 1: Find the prime factorization of 4761

4761 = 3 x 3 x 23 x 23

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 = 22690926 = 2 x 3 x 3 x 23 x 23 x 2383

Step 4: Therefore, the least common multiple of 4761 and 4766 is 22690926.