Least Common Multiple of 4905 and 4910

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 4910 the smallest integer that is 4816710 that is divisible by both numbers.

Least Common Multiple (LCM) of 4905 and 4910 is 4816710.

LCM(4905,4910) = 4816710

LCM of 4905 and 4910

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

LCM of:
and

Least Common Multiple of 4905 and 4910

LCM of 4905 and 4910 is 4816710

Least common multiple can be found by multiplying the highest exponent prime factors of 4905 and 4910. First we will calculate the prime factors of 4905 and 4910.

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 4910


2 4910
5 2455
491 491
1

Prime factors of 4910 are 2, 5,491. Prime factorization of 4910 in exponential form is:

4910 = 21×51×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 4905 and 4910.

LCM(4905,4910) = 21×32×51×1091×4911
LCM(4905,4910) = 4816710

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 4910

List of positive integer factors of 4910 that divides 4910 without a remainder.

1, 2, 5, 10, 491, 982, 2455, 4910

Least Common Multiple of 4905 and 4910 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 4910, than apply into the LCM equation.

GCF(4905,4910) = 5
LCM(4905,4910) = ( 4905 × 4910) / 5
LCM(4905,4910) = 24083550 / 5
LCM(4905,4910) = 4816710

Properties of LCM 4905 and 4910

(i) The LCM of 4910 and 4905 is associative

LCM of 4905 and 4910 = LCM of 4910 and 4905

Related Least Common Multiples of 4905

Related Least Common Multiples of 4910

Frequently Asked Questions on LCM of 4905 and 4910

1. What is the LCM of 4905 and 4910?

Answer: LCM of 4905 and 4910 is 4816710.

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 4910?

Answer: Factors of 4910 are 1, 2, 5, 10, 491, 982, 2455, 4910. There are 8 integers that are factors of 4910. The greatest factor of 4910 is 4910.

4. How to Find the LCM of 4905 and 4910?

Answer:

Least Common Multiple of 4905 and 4910 = 4816710

Step 1: Find the prime factorization of 4905

4905 = 3 x 3 x 5 x 109

Step 2: Find the prime factorization of 4910

4910 = 2 x 5 x 491

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

LCM = 4816710 = 2 x 3 x 3 x 5 x 109 x 491

Step 4: Therefore, the least common multiple of 4905 and 4910 is 4816710.