Least Common Multiple of 4906 and 4912

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 4912 the smallest integer that is 12049136 that is divisible by both numbers.

Least Common Multiple (LCM) of 4906 and 4912 is 12049136.

LCM(4906,4912) = 12049136

LCM of 4906 and 4912

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

LCM of:
and

Least Common Multiple of 4906 and 4912

LCM of 4906 and 4912 is 12049136

Least common multiple can be found by multiplying the highest exponent prime factors of 4906 and 4912. First we will calculate the prime factors of 4906 and 4912.

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 4912


2 4912
2 2456
2 1228
2 614
307 307
1

Prime factors of 4912 are 2,307. Prime factorization of 4912 in exponential form is:

4912 = 24×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 4906 and 4912.

LCM(4906,4912) = 24×111×2231×3071
LCM(4906,4912) = 12049136

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 4912

List of positive integer factors of 4912 that divides 4912 without a remainder.

1, 2, 4, 8, 16, 307, 614, 1228, 2456, 4912

Least Common Multiple of 4906 and 4912 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 4912, than apply into the LCM equation.

GCF(4906,4912) = 2
LCM(4906,4912) = ( 4906 × 4912) / 2
LCM(4906,4912) = 24098272 / 2
LCM(4906,4912) = 12049136

Properties of LCM 4906 and 4912

(i) The LCM of 4912 and 4906 is associative

LCM of 4906 and 4912 = LCM of 4912 and 4906

Related Least Common Multiples of 4906

Related Least Common Multiples of 4912

Frequently Asked Questions on LCM of 4906 and 4912

1. What is the LCM of 4906 and 4912?

Answer: LCM of 4906 and 4912 is 12049136.

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 4912?

Answer: Factors of 4912 are 1, 2, 4, 8, 16, 307, 614, 1228, 2456, 4912. There are 10 integers that are factors of 4912. The greatest factor of 4912 is 4912.

4. How to Find the LCM of 4906 and 4912?

Answer:

Least Common Multiple of 4906 and 4912 = 12049136

Step 1: Find the prime factorization of 4906

4906 = 2 x 11 x 223

Step 2: Find the prime factorization of 4912

4912 = 2 x 2 x 2 x 2 x 307

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

LCM = 12049136 = 2 x 2 x 2 x 2 x 11 x 223 x 307

Step 4: Therefore, the least common multiple of 4906 and 4912 is 12049136.