Least Common Multiple of 4916 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 4916 and 4917 the smallest integer that is 24171972 that is divisible by both numbers.

Least Common Multiple (LCM) of 4916 and 4917 is 24171972.

LCM(4916,4917) = 24171972

LCM of 4916 and 4917

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

LCM of:
and

Least Common Multiple of 4916 and 4917

LCM of 4916 and 4917 is 24171972

Least common multiple can be found by multiplying the highest exponent prime factors of 4916 and 4917. First we will calculate the prime factors of 4916 and 4917.

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

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 4916 and 4917.

LCM(4916,4917) = 22×31×111×1491×12291
LCM(4916,4917) = 24171972

Factors of 4916

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

1, 2, 4, 1229, 2458, 4916

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 4916 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 4916 and 4917, than apply into the LCM equation.

GCF(4916,4917) = 1
LCM(4916,4917) = ( 4916 × 4917) / 1
LCM(4916,4917) = 24171972 / 1
LCM(4916,4917) = 24171972

Properties of LCM 4916 and 4917

(i) The LCM of 4917 and 4916 is associative

LCM of 4916 and 4917 = LCM of 4917 and 4916

Related Least Common Multiples of 4916

Related Least Common Multiples of 4917

Frequently Asked Questions on LCM of 4916 and 4917

1. What is the LCM of 4916 and 4917?

Answer: LCM of 4916 and 4917 is 24171972.

2. 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.

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 4916 and 4917?

Answer:

Least Common Multiple of 4916 and 4917 = 24171972

Step 1: Find the prime factorization of 4916

4916 = 2 x 2 x 1229

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 = 24171972 = 2 x 2 x 3 x 11 x 149 x 1229

Step 4: Therefore, the least common multiple of 4916 and 4917 is 24171972.