Least Common Multiple of 4761 and 4765

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 4765 the smallest integer that is 22686165 that is divisible by both numbers.

Least Common Multiple (LCM) of 4761 and 4765 is 22686165.

LCM(4761,4765) = 22686165

LCM of 4761 and 4765

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

LCM of:
and

Least Common Multiple of 4761 and 4765

LCM of 4761 and 4765 is 22686165

Least common multiple can be found by multiplying the highest exponent prime factors of 4761 and 4765. First we will calculate the prime factors of 4761 and 4765.

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 4765


5 4765
953 953
1

Prime factors of 4765 are 5,953. Prime factorization of 4765 in exponential form is:

4765 = 51×9531

Now multiplying the highest exponent prime factors to calculate the LCM of 4761 and 4765.

LCM(4761,4765) = 32×51×232×9531
LCM(4761,4765) = 22686165

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 4765

List of positive integer factors of 4765 that divides 4765 without a remainder.

1, 5, 953, 4765

Least Common Multiple of 4761 and 4765 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 4765, than apply into the LCM equation.

GCF(4761,4765) = 1
LCM(4761,4765) = ( 4761 × 4765) / 1
LCM(4761,4765) = 22686165 / 1
LCM(4761,4765) = 22686165

Properties of LCM 4761 and 4765

(i) The LCM of 4765 and 4761 is associative

LCM of 4761 and 4765 = LCM of 4765 and 4761

Related Least Common Multiples of 4761

Related Least Common Multiples of 4765

Frequently Asked Questions on LCM of 4761 and 4765

1. What is the LCM of 4761 and 4765?

Answer: LCM of 4761 and 4765 is 22686165.

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 4765?

Answer: Factors of 4765 are 1, 5, 953, 4765. There are 4 integers that are factors of 4765. The greatest factor of 4765 is 4765.

4. How to Find the LCM of 4761 and 4765?

Answer:

Least Common Multiple of 4761 and 4765 = 22686165

Step 1: Find the prime factorization of 4761

4761 = 3 x 3 x 23 x 23

Step 2: Find the prime factorization of 4765

4765 = 5 x 953

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

LCM = 22686165 = 3 x 3 x 5 x 23 x 23 x 953

Step 4: Therefore, the least common multiple of 4761 and 4765 is 22686165.