Least Common Multiple of 4907 and 4915

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 4915 the smallest integer that is 24117905 that is divisible by both numbers.

Least Common Multiple (LCM) of 4907 and 4915 is 24117905.

LCM(4907,4915) = 24117905

LCM of 4907 and 4915

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

LCM of:
and

Least Common Multiple of 4907 and 4915

LCM of 4907 and 4915 is 24117905

Least common multiple can be found by multiplying the highest exponent prime factors of 4907 and 4915. First we will calculate the prime factors of 4907 and 4915.

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 4915


5 4915
983 983
1

Prime factors of 4915 are 5,983. Prime factorization of 4915 in exponential form is:

4915 = 51×9831

Now multiplying the highest exponent prime factors to calculate the LCM of 4907 and 4915.

LCM(4907,4915) = 51×71×7011×9831
LCM(4907,4915) = 24117905

Factors of 4907

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

1, 7, 701, 4907

Factors of 4915

List of positive integer factors of 4915 that divides 4915 without a remainder.

1, 5, 983, 4915

Least Common Multiple of 4907 and 4915 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 4915, than apply into the LCM equation.

GCF(4907,4915) = 1
LCM(4907,4915) = ( 4907 × 4915) / 1
LCM(4907,4915) = 24117905 / 1
LCM(4907,4915) = 24117905

Properties of LCM 4907 and 4915

(i) The LCM of 4915 and 4907 is associative

LCM of 4907 and 4915 = LCM of 4915 and 4907

Related Least Common Multiples of 4907

Related Least Common Multiples of 4915

Frequently Asked Questions on LCM of 4907 and 4915

1. What is the LCM of 4907 and 4915?

Answer: LCM of 4907 and 4915 is 24117905.

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 4915?

Answer: Factors of 4915 are 1, 5, 983, 4915. There are 4 integers that are factors of 4915. The greatest factor of 4915 is 4915.

4. How to Find the LCM of 4907 and 4915?

Answer:

Least Common Multiple of 4907 and 4915 = 24117905

Step 1: Find the prime factorization of 4907

4907 = 7 x 701

Step 2: Find the prime factorization of 4915

4915 = 5 x 983

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

LCM = 24117905 = 5 x 7 x 701 x 983

Step 4: Therefore, the least common multiple of 4907 and 4915 is 24117905.