Least Common Multiple of 4765 and 4768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4765 and 4768 the smallest integer that is 22719520 that is divisible by both numbers.

Least Common Multiple (LCM) of 4765 and 4768 is 22719520.

LCM(4765,4768) = 22719520

LCM of 4765 and 4768

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

LCM of:
and

Least Common Multiple of 4765 and 4768

LCM of 4765 and 4768 is 22719520

Least common multiple can be found by multiplying the highest exponent prime factors of 4765 and 4768. First we will calculate the prime factors of 4765 and 4768.

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

Prime Factorization of 4768


2 4768
2 2384
2 1192
2 596
2 298
149 149
1

Prime factors of 4768 are 2,149. Prime factorization of 4768 in exponential form is:

4768 = 25×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 4765 and 4768.

LCM(4765,4768) = 25×51×1491×9531
LCM(4765,4768) = 22719520

Factors of 4765

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

1, 5, 953, 4765

Factors of 4768

List of positive integer factors of 4768 that divides 4768 without a remainder.

1, 2, 4, 8, 16, 32, 149, 298, 596, 1192, 2384, 4768

Least Common Multiple of 4765 and 4768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4765 and 4768, than apply into the LCM equation.

GCF(4765,4768) = 1
LCM(4765,4768) = ( 4765 × 4768) / 1
LCM(4765,4768) = 22719520 / 1
LCM(4765,4768) = 22719520

Properties of LCM 4765 and 4768

(i) The LCM of 4768 and 4765 is associative

LCM of 4765 and 4768 = LCM of 4768 and 4765

Related Least Common Multiples of 4765

Related Least Common Multiples of 4768

Frequently Asked Questions on LCM of 4765 and 4768

1. What is the LCM of 4765 and 4768?

Answer: LCM of 4765 and 4768 is 22719520.

2. 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.

3. What are the Factors of 4768?

Answer: Factors of 4768 are 1, 2, 4, 8, 16, 32, 149, 298, 596, 1192, 2384, 4768. There are 12 integers that are factors of 4768. The greatest factor of 4768 is 4768.

4. How to Find the LCM of 4765 and 4768?

Answer:

Least Common Multiple of 4765 and 4768 = 22719520

Step 1: Find the prime factorization of 4765

4765 = 5 x 953

Step 2: Find the prime factorization of 4768

4768 = 2 x 2 x 2 x 2 x 2 x 149

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

LCM = 22719520 = 2 x 2 x 2 x 2 x 2 x 5 x 149 x 953

Step 4: Therefore, the least common multiple of 4765 and 4768 is 22719520.