Least Common Multiple of 4815 and 4822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4815 and 4822 the smallest integer that is 23217930 that is divisible by both numbers.

Least Common Multiple (LCM) of 4815 and 4822 is 23217930.

LCM(4815,4822) = 23217930

LCM of 4815 and 4822

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

LCM of:
and

Least Common Multiple of 4815 and 4822

LCM of 4815 and 4822 is 23217930

Least common multiple can be found by multiplying the highest exponent prime factors of 4815 and 4822. First we will calculate the prime factors of 4815 and 4822.

Prime Factorization of 4815


3 4815
3 1605
5 535
107 107
1

Prime factors of 4815 are 3, 5,107. Prime factorization of 4815 in exponential form is:

4815 = 32×51×1071

Prime Factorization of 4822


2 4822
2411 2411
1

Prime factors of 4822 are 2,2411. Prime factorization of 4822 in exponential form is:

4822 = 21×24111

Now multiplying the highest exponent prime factors to calculate the LCM of 4815 and 4822.

LCM(4815,4822) = 21×32×51×1071×24111
LCM(4815,4822) = 23217930

Factors of 4815

List of positive integer factors of 4815 that divides 4815 without a remainder.

1, 3, 5, 9, 15, 45, 107, 321, 535, 963, 1605, 4815

Factors of 4822

List of positive integer factors of 4822 that divides 4822 without a remainder.

1, 2, 2411, 4822

Least Common Multiple of 4815 and 4822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4815 and 4822, than apply into the LCM equation.

GCF(4815,4822) = 1
LCM(4815,4822) = ( 4815 × 4822) / 1
LCM(4815,4822) = 23217930 / 1
LCM(4815,4822) = 23217930

Properties of LCM 4815 and 4822

(i) The LCM of 4822 and 4815 is associative

LCM of 4815 and 4822 = LCM of 4822 and 4815

Related Least Common Multiples of 4815

Related Least Common Multiples of 4822

Frequently Asked Questions on LCM of 4815 and 4822

1. What is the LCM of 4815 and 4822?

Answer: LCM of 4815 and 4822 is 23217930.

2. What are the Factors of 4815?

Answer: Factors of 4815 are 1, 3, 5, 9, 15, 45, 107, 321, 535, 963, 1605, 4815. There are 12 integers that are factors of 4815. The greatest factor of 4815 is 4815.

3. What are the Factors of 4822?

Answer: Factors of 4822 are 1, 2, 2411, 4822. There are 4 integers that are factors of 4822. The greatest factor of 4822 is 4822.

4. How to Find the LCM of 4815 and 4822?

Answer:

Least Common Multiple of 4815 and 4822 = 23217930

Step 1: Find the prime factorization of 4815

4815 = 3 x 3 x 5 x 107

Step 2: Find the prime factorization of 4822

4822 = 2 x 2411

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

LCM = 23217930 = 2 x 3 x 3 x 5 x 107 x 2411

Step 4: Therefore, the least common multiple of 4815 and 4822 is 23217930.