Least Common Multiple of 4906 and 4908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4906 and 4908 the smallest integer that is 12039324 that is divisible by both numbers.

Least Common Multiple (LCM) of 4906 and 4908 is 12039324.

LCM(4906,4908) = 12039324

LCM of 4906 and 4908

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

LCM of:
and

Least Common Multiple of 4906 and 4908

LCM of 4906 and 4908 is 12039324

Least common multiple can be found by multiplying the highest exponent prime factors of 4906 and 4908. First we will calculate the prime factors of 4906 and 4908.

Prime Factorization of 4906


2 4906
11 2453
223 223
1

Prime factors of 4906 are 2, 11,223. Prime factorization of 4906 in exponential form is:

4906 = 21×111×2231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4906 and 4908.

LCM(4906,4908) = 22×31×111×2231×4091
LCM(4906,4908) = 12039324

Factors of 4906

List of positive integer factors of 4906 that divides 4906 without a remainder.

1, 2, 11, 22, 223, 446, 2453, 4906

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

Least Common Multiple of 4906 and 4908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4906 and 4908, than apply into the LCM equation.

GCF(4906,4908) = 2
LCM(4906,4908) = ( 4906 × 4908) / 2
LCM(4906,4908) = 24078648 / 2
LCM(4906,4908) = 12039324

Properties of LCM 4906 and 4908

(i) The LCM of 4908 and 4906 is associative

LCM of 4906 and 4908 = LCM of 4908 and 4906

Related Least Common Multiples of 4906

Related Least Common Multiples of 4908

Frequently Asked Questions on LCM of 4906 and 4908

1. What is the LCM of 4906 and 4908?

Answer: LCM of 4906 and 4908 is 12039324.

2. What are the Factors of 4906?

Answer: Factors of 4906 are 1, 2, 11, 22, 223, 446, 2453, 4906. There are 8 integers that are factors of 4906. The greatest factor of 4906 is 4906.

3. 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.

4. How to Find the LCM of 4906 and 4908?

Answer:

Least Common Multiple of 4906 and 4908 = 12039324

Step 1: Find the prime factorization of 4906

4906 = 2 x 11 x 223

Step 2: Find the prime factorization of 4908

4908 = 2 x 2 x 3 x 409

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

LCM = 12039324 = 2 x 2 x 3 x 11 x 223 x 409

Step 4: Therefore, the least common multiple of 4906 and 4908 is 12039324.