Least Common Multiple of 4907 and 4911

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 4911 the smallest integer that is 24098277 that is divisible by both numbers.

Least Common Multiple (LCM) of 4907 and 4911 is 24098277.

LCM(4907,4911) = 24098277

LCM of 4907 and 4911

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

LCM of:
and

Least Common Multiple of 4907 and 4911

LCM of 4907 and 4911 is 24098277

Least common multiple can be found by multiplying the highest exponent prime factors of 4907 and 4911. First we will calculate the prime factors of 4907 and 4911.

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 4911


3 4911
1637 1637
1

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

4911 = 31×16371

Now multiplying the highest exponent prime factors to calculate the LCM of 4907 and 4911.

LCM(4907,4911) = 31×71×7011×16371
LCM(4907,4911) = 24098277

Factors of 4907

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

1, 7, 701, 4907

Factors of 4911

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

1, 3, 1637, 4911

Least Common Multiple of 4907 and 4911 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 4911, than apply into the LCM equation.

GCF(4907,4911) = 1
LCM(4907,4911) = ( 4907 × 4911) / 1
LCM(4907,4911) = 24098277 / 1
LCM(4907,4911) = 24098277

Properties of LCM 4907 and 4911

(i) The LCM of 4911 and 4907 is associative

LCM of 4907 and 4911 = LCM of 4911 and 4907

Related Least Common Multiples of 4907

Related Least Common Multiples of 4911

Frequently Asked Questions on LCM of 4907 and 4911

1. What is the LCM of 4907 and 4911?

Answer: LCM of 4907 and 4911 is 24098277.

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 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.

4. How to Find the LCM of 4907 and 4911?

Answer:

Least Common Multiple of 4907 and 4911 = 24098277

Step 1: Find the prime factorization of 4907

4907 = 7 x 701

Step 2: Find the prime factorization of 4911

4911 = 3 x 1637

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

LCM = 24098277 = 3 x 7 x 701 x 1637

Step 4: Therefore, the least common multiple of 4907 and 4911 is 24098277.