Least Common Multiple of 4911 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 4911 and 4915 the smallest integer that is 24137565 that is divisible by both numbers.

Least Common Multiple (LCM) of 4911 and 4915 is 24137565.

LCM(4911,4915) = 24137565

LCM of 4911 and 4915

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

LCM of:
and

Least Common Multiple of 4911 and 4915

LCM of 4911 and 4915 is 24137565

Least common multiple can be found by multiplying the highest exponent prime factors of 4911 and 4915. First we will calculate the prime factors of 4911 and 4915.

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 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 4911 and 4915.

LCM(4911,4915) = 31×51×9831×16371
LCM(4911,4915) = 24137565

Factors of 4911

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

1, 3, 1637, 4911

Factors of 4915

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

1, 5, 983, 4915

Least Common Multiple of 4911 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 4911 and 4915, than apply into the LCM equation.

GCF(4911,4915) = 1
LCM(4911,4915) = ( 4911 × 4915) / 1
LCM(4911,4915) = 24137565 / 1
LCM(4911,4915) = 24137565

Properties of LCM 4911 and 4915

(i) The LCM of 4915 and 4911 is associative

LCM of 4911 and 4915 = LCM of 4915 and 4911

Related Least Common Multiples of 4911

Related Least Common Multiples of 4915

Frequently Asked Questions on LCM of 4911 and 4915

1. What is the LCM of 4911 and 4915?

Answer: LCM of 4911 and 4915 is 24137565.

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 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 4911 and 4915?

Answer:

Least Common Multiple of 4911 and 4915 = 24137565

Step 1: Find the prime factorization of 4911

4911 = 3 x 1637

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 = 24137565 = 3 x 5 x 983 x 1637

Step 4: Therefore, the least common multiple of 4911 and 4915 is 24137565.