Least Common Multiple of 4907 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 4907 and 4912 the smallest integer that is 24103184 that is divisible by both numbers.

Least Common Multiple (LCM) of 4907 and 4912 is 24103184.

LCM(4907,4912) = 24103184

LCM of 4907 and 4912

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

LCM of:
and

Least Common Multiple of 4907 and 4912

LCM of 4907 and 4912 is 24103184

Least common multiple can be found by multiplying the highest exponent prime factors of 4907 and 4912. First we will calculate the prime factors of 4907 and 4912.

Prime Factorization of 4907


7 4907
701 701
1

Prime factors of 4907 are 7,701. Prime factorization of 4907 in exponential form is:

4907 = 71×7011

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 4907 and 4912.

LCM(4907,4912) = 24×71×3071×7011
LCM(4907,4912) = 24103184

Factors of 4907

List of positive integer factors of 4907 that divides 4907 without a remainder.

1, 7, 701, 4907

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 4907 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 4907 and 4912, than apply into the LCM equation.

GCF(4907,4912) = 1
LCM(4907,4912) = ( 4907 × 4912) / 1
LCM(4907,4912) = 24103184 / 1
LCM(4907,4912) = 24103184

Properties of LCM 4907 and 4912

(i) The LCM of 4912 and 4907 is associative

LCM of 4907 and 4912 = LCM of 4912 and 4907

Related Least Common Multiples of 4907

Related Least Common Multiples of 4912

Frequently Asked Questions on LCM of 4907 and 4912

1. What is the LCM of 4907 and 4912?

Answer: LCM of 4907 and 4912 is 24103184.

2. What are the Factors of 4907?

Answer: Factors of 4907 are 1, 7, 701, 4907. There are 4 integers that are factors of 4907. The greatest factor of 4907 is 4907.

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 4907 and 4912?

Answer:

Least Common Multiple of 4907 and 4912 = 24103184

Step 1: Find the prime factorization of 4907

4907 = 7 x 701

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 = 24103184 = 2 x 2 x 2 x 2 x 7 x 307 x 701

Step 4: Therefore, the least common multiple of 4907 and 4912 is 24103184.