Least Common Multiple of 4789 and 4795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4789 and 4795 the smallest integer that is 22963255 that is divisible by both numbers.

Least Common Multiple (LCM) of 4789 and 4795 is 22963255.

LCM(4789,4795) = 22963255

LCM of 4789 and 4795

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

LCM of:
and

Least Common Multiple of 4789 and 4795

LCM of 4789 and 4795 is 22963255

Least common multiple can be found by multiplying the highest exponent prime factors of 4789 and 4795. First we will calculate the prime factors of 4789 and 4795.

Prime Factorization of 4789


4789 4789
1

Prime factors of 4789 are 4789. Prime factorization of 4789 in exponential form is:

4789 = 47891

Prime Factorization of 4795


5 4795
7 959
137 137
1

Prime factors of 4795 are 5, 7,137. Prime factorization of 4795 in exponential form is:

4795 = 51×71×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 4789 and 4795.

LCM(4789,4795) = 51×71×1371×47891
LCM(4789,4795) = 22963255

Factors of 4789

List of positive integer factors of 4789 that divides 4789 without a remainder.

1, 4789

Factors of 4795

List of positive integer factors of 4795 that divides 4795 without a remainder.

1, 5, 7, 35, 137, 685, 959, 4795

Least Common Multiple of 4789 and 4795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4789 and 4795, than apply into the LCM equation.

GCF(4789,4795) = 1
LCM(4789,4795) = ( 4789 × 4795) / 1
LCM(4789,4795) = 22963255 / 1
LCM(4789,4795) = 22963255

Properties of LCM 4789 and 4795

(i) The LCM of 4795 and 4789 is associative

LCM of 4789 and 4795 = LCM of 4795 and 4789

Related Least Common Multiples of 4789

Related Least Common Multiples of 4795

Frequently Asked Questions on LCM of 4789 and 4795

1. What is the LCM of 4789 and 4795?

Answer: LCM of 4789 and 4795 is 22963255.

2. What are the Factors of 4789?

Answer: Factors of 4789 are 1, 4789. There are 2 integers that are factors of 4789. The greatest factor of 4789 is 4789.

3. What are the Factors of 4795?

Answer: Factors of 4795 are 1, 5, 7, 35, 137, 685, 959, 4795. There are 8 integers that are factors of 4795. The greatest factor of 4795 is 4795.

4. How to Find the LCM of 4789 and 4795?

Answer:

Least Common Multiple of 4789 and 4795 = 22963255

Step 1: Find the prime factorization of 4789

4789 = 4789

Step 2: Find the prime factorization of 4795

4795 = 5 x 7 x 137

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

LCM = 22963255 = 5 x 7 x 137 x 4789

Step 4: Therefore, the least common multiple of 4789 and 4795 is 22963255.