Least Common Multiple of 4905 and 4909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4905 and 4909 the smallest integer that is 24078645 that is divisible by both numbers.

Least Common Multiple (LCM) of 4905 and 4909 is 24078645.

LCM(4905,4909) = 24078645

LCM of 4905 and 4909

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

LCM of:
and

Least Common Multiple of 4905 and 4909

LCM of 4905 and 4909 is 24078645

Least common multiple can be found by multiplying the highest exponent prime factors of 4905 and 4909. First we will calculate the prime factors of 4905 and 4909.

Prime Factorization of 4905


3 4905
3 1635
5 545
109 109
1

Prime factors of 4905 are 3, 5,109. Prime factorization of 4905 in exponential form is:

4905 = 32×51×1091

Prime Factorization of 4909


4909 4909
1

Prime factors of 4909 are 4909. Prime factorization of 4909 in exponential form is:

4909 = 49091

Now multiplying the highest exponent prime factors to calculate the LCM of 4905 and 4909.

LCM(4905,4909) = 32×51×1091×49091
LCM(4905,4909) = 24078645

Factors of 4905

List of positive integer factors of 4905 that divides 4905 without a remainder.

1, 3, 5, 9, 15, 45, 109, 327, 545, 981, 1635, 4905

Factors of 4909

List of positive integer factors of 4909 that divides 4909 without a remainder.

1, 4909

Least Common Multiple of 4905 and 4909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4905 and 4909, than apply into the LCM equation.

GCF(4905,4909) = 1
LCM(4905,4909) = ( 4905 × 4909) / 1
LCM(4905,4909) = 24078645 / 1
LCM(4905,4909) = 24078645

Properties of LCM 4905 and 4909

(i) The LCM of 4909 and 4905 is associative

LCM of 4905 and 4909 = LCM of 4909 and 4905

Related Least Common Multiples of 4905

Related Least Common Multiples of 4909

Frequently Asked Questions on LCM of 4905 and 4909

1. What is the LCM of 4905 and 4909?

Answer: LCM of 4905 and 4909 is 24078645.

2. What are the Factors of 4905?

Answer: Factors of 4905 are 1, 3, 5, 9, 15, 45, 109, 327, 545, 981, 1635, 4905. There are 12 integers that are factors of 4905. The greatest factor of 4905 is 4905.

3. What are the Factors of 4909?

Answer: Factors of 4909 are 1, 4909. There are 2 integers that are factors of 4909. The greatest factor of 4909 is 4909.

4. How to Find the LCM of 4905 and 4909?

Answer:

Least Common Multiple of 4905 and 4909 = 24078645

Step 1: Find the prime factorization of 4905

4905 = 3 x 3 x 5 x 109

Step 2: Find the prime factorization of 4909

4909 = 4909

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

LCM = 24078645 = 3 x 3 x 5 x 109 x 4909

Step 4: Therefore, the least common multiple of 4905 and 4909 is 24078645.