Least Common Multiple of 4909 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 4909 and 4915 the smallest integer that is 24127735 that is divisible by both numbers.

Least Common Multiple (LCM) of 4909 and 4915 is 24127735.

LCM(4909,4915) = 24127735

LCM of 4909 and 4915

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

LCM of:
and

Least Common Multiple of 4909 and 4915

LCM of 4909 and 4915 is 24127735

Least common multiple can be found by multiplying the highest exponent prime factors of 4909 and 4915. First we will calculate the prime factors of 4909 and 4915.

Prime Factorization of 4909


4909 4909
1

Prime factors of 4909 are 4909. Prime factorization of 4909 in exponential form is:

4909 = 49091

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 4909 and 4915.

LCM(4909,4915) = 51×9831×49091
LCM(4909,4915) = 24127735

Factors of 4909

List of positive integer factors of 4909 that divides 4909 without a remainder.

1, 4909

Factors of 4915

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

1, 5, 983, 4915

Least Common Multiple of 4909 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 4909 and 4915, than apply into the LCM equation.

GCF(4909,4915) = 1
LCM(4909,4915) = ( 4909 × 4915) / 1
LCM(4909,4915) = 24127735 / 1
LCM(4909,4915) = 24127735

Properties of LCM 4909 and 4915

(i) The LCM of 4915 and 4909 is associative

LCM of 4909 and 4915 = LCM of 4915 and 4909

Related Least Common Multiples of 4909

Related Least Common Multiples of 4915

Frequently Asked Questions on LCM of 4909 and 4915

1. What is the LCM of 4909 and 4915?

Answer: LCM of 4909 and 4915 is 24127735.

2. What are the Factors of 4909?

Answer: Factors of 4909 are 1, 4909. There are 2 integers that are factors of 4909. The greatest factor of 4909 is 4909.

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 4909 and 4915?

Answer:

Least Common Multiple of 4909 and 4915 = 24127735

Step 1: Find the prime factorization of 4909

4909 = 4909

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 = 24127735 = 5 x 983 x 4909

Step 4: Therefore, the least common multiple of 4909 and 4915 is 24127735.