Least Common Multiple of 4912 and 4916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4912 and 4916 the smallest integer that is 6036848 that is divisible by both numbers.

Least Common Multiple (LCM) of 4912 and 4916 is 6036848.

LCM(4912,4916) = 6036848

LCM of 4912 and 4916

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

LCM of:
and

Least Common Multiple of 4912 and 4916

LCM of 4912 and 4916 is 6036848

Least common multiple can be found by multiplying the highest exponent prime factors of 4912 and 4916. First we will calculate the prime factors of 4912 and 4916.

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

Prime Factorization of 4916


2 4916
2 2458
1229 1229
1

Prime factors of 4916 are 2,1229. Prime factorization of 4916 in exponential form is:

4916 = 22×12291

Now multiplying the highest exponent prime factors to calculate the LCM of 4912 and 4916.

LCM(4912,4916) = 24×3071×12291
LCM(4912,4916) = 6036848

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

Factors of 4916

List of positive integer factors of 4916 that divides 4916 without a remainder.

1, 2, 4, 1229, 2458, 4916

Least Common Multiple of 4912 and 4916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4912 and 4916, than apply into the LCM equation.

GCF(4912,4916) = 4
LCM(4912,4916) = ( 4912 × 4916) / 4
LCM(4912,4916) = 24147392 / 4
LCM(4912,4916) = 6036848

Properties of LCM 4912 and 4916

(i) The LCM of 4916 and 4912 is associative

LCM of 4912 and 4916 = LCM of 4916 and 4912

Related Least Common Multiples of 4912

Related Least Common Multiples of 4916

Frequently Asked Questions on LCM of 4912 and 4916

1. What is the LCM of 4912 and 4916?

Answer: LCM of 4912 and 4916 is 6036848.

2. 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.

3. What are the Factors of 4916?

Answer: Factors of 4916 are 1, 2, 4, 1229, 2458, 4916. There are 6 integers that are factors of 4916. The greatest factor of 4916 is 4916.

4. How to Find the LCM of 4912 and 4916?

Answer:

Least Common Multiple of 4912 and 4916 = 6036848

Step 1: Find the prime factorization of 4912

4912 = 2 x 2 x 2 x 2 x 307

Step 2: Find the prime factorization of 4916

4916 = 2 x 2 x 1229

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

LCM = 6036848 = 2 x 2 x 2 x 2 x 307 x 1229

Step 4: Therefore, the least common multiple of 4912 and 4916 is 6036848.