Least Common Multiple of 4908 and 4914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4908 and 4914 the smallest integer that is 4019652 that is divisible by both numbers.

Least Common Multiple (LCM) of 4908 and 4914 is 4019652.

LCM(4908,4914) = 4019652

LCM of 4908 and 4914

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

LCM of:
and

Least Common Multiple of 4908 and 4914

LCM of 4908 and 4914 is 4019652

Least common multiple can be found by multiplying the highest exponent prime factors of 4908 and 4914. First we will calculate the prime factors of 4908 and 4914.

Prime Factorization of 4908


2 4908
2 2454
3 1227
409 409
1

Prime factors of 4908 are 2, 3,409. Prime factorization of 4908 in exponential form is:

4908 = 22×31×4091

Prime Factorization of 4914


2 4914
3 2457
3 819
3 273
7 91
13 13
1

Prime factors of 4914 are 2, 3, 7,13. Prime factorization of 4914 in exponential form is:

4914 = 21×33×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 4908 and 4914.

LCM(4908,4914) = 22×33×71×131×4091
LCM(4908,4914) = 4019652

Factors of 4908

List of positive integer factors of 4908 that divides 4908 without a remainder.

1, 2, 3, 4, 6, 12, 409, 818, 1227, 1636, 2454, 4908

Factors of 4914

List of positive integer factors of 4914 that divides 4914 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457, 4914

Least Common Multiple of 4908 and 4914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4908 and 4914, than apply into the LCM equation.

GCF(4908,4914) = 6
LCM(4908,4914) = ( 4908 × 4914) / 6
LCM(4908,4914) = 24117912 / 6
LCM(4908,4914) = 4019652

Properties of LCM 4908 and 4914

(i) The LCM of 4914 and 4908 is associative

LCM of 4908 and 4914 = LCM of 4914 and 4908

Related Least Common Multiples of 4908

Related Least Common Multiples of 4914

Frequently Asked Questions on LCM of 4908 and 4914

1. What is the LCM of 4908 and 4914?

Answer: LCM of 4908 and 4914 is 4019652.

2. What are the Factors of 4908?

Answer: Factors of 4908 are 1, 2, 3, 4, 6, 12, 409, 818, 1227, 1636, 2454, 4908. There are 12 integers that are factors of 4908. The greatest factor of 4908 is 4908.

3. What are the Factors of 4914?

Answer: Factors of 4914 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457, 4914. There are 32 integers that are factors of 4914. The greatest factor of 4914 is 4914.

4. How to Find the LCM of 4908 and 4914?

Answer:

Least Common Multiple of 4908 and 4914 = 4019652

Step 1: Find the prime factorization of 4908

4908 = 2 x 2 x 3 x 409

Step 2: Find the prime factorization of 4914

4914 = 2 x 3 x 3 x 3 x 7 x 13

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

LCM = 4019652 = 2 x 2 x 3 x 3 x 3 x 7 x 13 x 409

Step 4: Therefore, the least common multiple of 4908 and 4914 is 4019652.