Least Common Multiple of 4912 and 4917

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 4917 the smallest integer that is 24152304 that is divisible by both numbers.

Least Common Multiple (LCM) of 4912 and 4917 is 24152304.

LCM(4912,4917) = 24152304

LCM of 4912 and 4917

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

LCM of:
and

Least Common Multiple of 4912 and 4917

LCM of 4912 and 4917 is 24152304

Least common multiple can be found by multiplying the highest exponent prime factors of 4912 and 4917. First we will calculate the prime factors of 4912 and 4917.

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 4917


3 4917
11 1639
149 149
1

Prime factors of 4917 are 3, 11,149. Prime factorization of 4917 in exponential form is:

4917 = 31×111×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 4912 and 4917.

LCM(4912,4917) = 24×31×111×1491×3071
LCM(4912,4917) = 24152304

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 4917

List of positive integer factors of 4917 that divides 4917 without a remainder.

1, 3, 11, 33, 149, 447, 1639, 4917

Least Common Multiple of 4912 and 4917 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 4917, than apply into the LCM equation.

GCF(4912,4917) = 1
LCM(4912,4917) = ( 4912 × 4917) / 1
LCM(4912,4917) = 24152304 / 1
LCM(4912,4917) = 24152304

Properties of LCM 4912 and 4917

(i) The LCM of 4917 and 4912 is associative

LCM of 4912 and 4917 = LCM of 4917 and 4912

Related Least Common Multiples of 4912

Related Least Common Multiples of 4917

Frequently Asked Questions on LCM of 4912 and 4917

1. What is the LCM of 4912 and 4917?

Answer: LCM of 4912 and 4917 is 24152304.

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 4917?

Answer: Factors of 4917 are 1, 3, 11, 33, 149, 447, 1639, 4917. There are 8 integers that are factors of 4917. The greatest factor of 4917 is 4917.

4. How to Find the LCM of 4912 and 4917?

Answer:

Least Common Multiple of 4912 and 4917 = 24152304

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 4917

4917 = 3 x 11 x 149

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

LCM = 24152304 = 2 x 2 x 2 x 2 x 3 x 11 x 149 x 307

Step 4: Therefore, the least common multiple of 4912 and 4917 is 24152304.