Least Common Multiple of 4905 and 4913

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 4913 the smallest integer that is 24098265 that is divisible by both numbers.

Least Common Multiple (LCM) of 4905 and 4913 is 24098265.

LCM(4905,4913) = 24098265

LCM of 4905 and 4913

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

LCM of:
and

Least Common Multiple of 4905 and 4913

LCM of 4905 and 4913 is 24098265

Least common multiple can be found by multiplying the highest exponent prime factors of 4905 and 4913. First we will calculate the prime factors of 4905 and 4913.

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 4913


17 4913
17 289
17 17
1

Prime factors of 4913 are 17. Prime factorization of 4913 in exponential form is:

4913 = 173

Now multiplying the highest exponent prime factors to calculate the LCM of 4905 and 4913.

LCM(4905,4913) = 32×51×173×1091
LCM(4905,4913) = 24098265

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 4913

List of positive integer factors of 4913 that divides 4913 without a remainder.

1, 17, 289, 4913

Least Common Multiple of 4905 and 4913 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 4913, than apply into the LCM equation.

GCF(4905,4913) = 1
LCM(4905,4913) = ( 4905 × 4913) / 1
LCM(4905,4913) = 24098265 / 1
LCM(4905,4913) = 24098265

Properties of LCM 4905 and 4913

(i) The LCM of 4913 and 4905 is associative

LCM of 4905 and 4913 = LCM of 4913 and 4905

Related Least Common Multiples of 4905

Related Least Common Multiples of 4913

Frequently Asked Questions on LCM of 4905 and 4913

1. What is the LCM of 4905 and 4913?

Answer: LCM of 4905 and 4913 is 24098265.

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 4913?

Answer: Factors of 4913 are 1, 17, 289, 4913. There are 4 integers that are factors of 4913. The greatest factor of 4913 is 4913.

4. How to Find the LCM of 4905 and 4913?

Answer:

Least Common Multiple of 4905 and 4913 = 24098265

Step 1: Find the prime factorization of 4905

4905 = 3 x 3 x 5 x 109

Step 2: Find the prime factorization of 4913

4913 = 17 x 17 x 17

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

LCM = 24098265 = 3 x 3 x 5 x 17 x 17 x 17 x 109

Step 4: Therefore, the least common multiple of 4905 and 4913 is 24098265.