Least Common Multiple of 4904 and 4905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4904 and 4905 the smallest integer that is 24054120 that is divisible by both numbers.

Least Common Multiple (LCM) of 4904 and 4905 is 24054120.

LCM(4904,4905) = 24054120

LCM of 4904 and 4905

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

LCM of:
and

Least Common Multiple of 4904 and 4905

LCM of 4904 and 4905 is 24054120

Least common multiple can be found by multiplying the highest exponent prime factors of 4904 and 4905. First we will calculate the prime factors of 4904 and 4905.

Prime Factorization of 4904


2 4904
2 2452
2 1226
613 613
1

Prime factors of 4904 are 2,613. Prime factorization of 4904 in exponential form is:

4904 = 23×6131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4904 and 4905.

LCM(4904,4905) = 23×32×51×1091×6131
LCM(4904,4905) = 24054120

Factors of 4904

List of positive integer factors of 4904 that divides 4904 without a remainder.

1, 2, 4, 8, 613, 1226, 2452, 4904

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

Least Common Multiple of 4904 and 4905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4904 and 4905, than apply into the LCM equation.

GCF(4904,4905) = 1
LCM(4904,4905) = ( 4904 × 4905) / 1
LCM(4904,4905) = 24054120 / 1
LCM(4904,4905) = 24054120

Properties of LCM 4904 and 4905

(i) The LCM of 4905 and 4904 is associative

LCM of 4904 and 4905 = LCM of 4905 and 4904

Related Least Common Multiples of 4904

Related Least Common Multiples of 4905

Frequently Asked Questions on LCM of 4904 and 4905

1. What is the LCM of 4904 and 4905?

Answer: LCM of 4904 and 4905 is 24054120.

2. What are the Factors of 4904?

Answer: Factors of 4904 are 1, 2, 4, 8, 613, 1226, 2452, 4904. There are 8 integers that are factors of 4904. The greatest factor of 4904 is 4904.

3. 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.

4. How to Find the LCM of 4904 and 4905?

Answer:

Least Common Multiple of 4904 and 4905 = 24054120

Step 1: Find the prime factorization of 4904

4904 = 2 x 2 x 2 x 613

Step 2: Find the prime factorization of 4905

4905 = 3 x 3 x 5 x 109

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

LCM = 24054120 = 2 x 2 x 2 x 3 x 3 x 5 x 109 x 613

Step 4: Therefore, the least common multiple of 4904 and 4905 is 24054120.