Least Common Multiple of 4911 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 4911 and 4917 the smallest integer that is 8049129 that is divisible by both numbers.

Least Common Multiple (LCM) of 4911 and 4917 is 8049129.

LCM(4911,4917) = 8049129

LCM of 4911 and 4917

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

LCM of:
and

Least Common Multiple of 4911 and 4917

LCM of 4911 and 4917 is 8049129

Least common multiple can be found by multiplying the highest exponent prime factors of 4911 and 4917. First we will calculate the prime factors of 4911 and 4917.

Prime Factorization of 4911


3 4911
1637 1637
1

Prime factors of 4911 are 3,1637. Prime factorization of 4911 in exponential form is:

4911 = 31×16371

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 4911 and 4917.

LCM(4911,4917) = 31×111×1491×16371
LCM(4911,4917) = 8049129

Factors of 4911

List of positive integer factors of 4911 that divides 4911 without a remainder.

1, 3, 1637, 4911

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 4911 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 4911 and 4917, than apply into the LCM equation.

GCF(4911,4917) = 3
LCM(4911,4917) = ( 4911 × 4917) / 3
LCM(4911,4917) = 24147387 / 3
LCM(4911,4917) = 8049129

Properties of LCM 4911 and 4917

(i) The LCM of 4917 and 4911 is associative

LCM of 4911 and 4917 = LCM of 4917 and 4911

Related Least Common Multiples of 4911

Related Least Common Multiples of 4917

Frequently Asked Questions on LCM of 4911 and 4917

1. What is the LCM of 4911 and 4917?

Answer: LCM of 4911 and 4917 is 8049129.

2. What are the Factors of 4911?

Answer: Factors of 4911 are 1, 3, 1637, 4911. There are 4 integers that are factors of 4911. The greatest factor of 4911 is 4911.

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 4911 and 4917?

Answer:

Least Common Multiple of 4911 and 4917 = 8049129

Step 1: Find the prime factorization of 4911

4911 = 3 x 1637

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 = 8049129 = 3 x 11 x 149 x 1637

Step 4: Therefore, the least common multiple of 4911 and 4917 is 8049129.