Least Common Multiple of 4815 and 4821

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 4821 the smallest integer that is 7737705 that is divisible by both numbers.

Least Common Multiple (LCM) of 4815 and 4821 is 7737705.

LCM(4815,4821) = 7737705

LCM of 4815 and 4821

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

LCM of:
and

Least Common Multiple of 4815 and 4821

LCM of 4815 and 4821 is 7737705

Least common multiple can be found by multiplying the highest exponent prime factors of 4815 and 4821. First we will calculate the prime factors of 4815 and 4821.

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 4821


3 4821
1607 1607
1

Prime factors of 4821 are 3,1607. Prime factorization of 4821 in exponential form is:

4821 = 31×16071

Now multiplying the highest exponent prime factors to calculate the LCM of 4815 and 4821.

LCM(4815,4821) = 32×51×1071×16071
LCM(4815,4821) = 7737705

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 4821

List of positive integer factors of 4821 that divides 4821 without a remainder.

1, 3, 1607, 4821

Least Common Multiple of 4815 and 4821 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 4821, than apply into the LCM equation.

GCF(4815,4821) = 3
LCM(4815,4821) = ( 4815 × 4821) / 3
LCM(4815,4821) = 23213115 / 3
LCM(4815,4821) = 7737705

Properties of LCM 4815 and 4821

(i) The LCM of 4821 and 4815 is associative

LCM of 4815 and 4821 = LCM of 4821 and 4815

Related Least Common Multiples of 4815

Related Least Common Multiples of 4821

Frequently Asked Questions on LCM of 4815 and 4821

1. What is the LCM of 4815 and 4821?

Answer: LCM of 4815 and 4821 is 7737705.

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 4821?

Answer: Factors of 4821 are 1, 3, 1607, 4821. There are 4 integers that are factors of 4821. The greatest factor of 4821 is 4821.

4. How to Find the LCM of 4815 and 4821?

Answer:

Least Common Multiple of 4815 and 4821 = 7737705

Step 1: Find the prime factorization of 4815

4815 = 3 x 3 x 5 x 107

Step 2: Find the prime factorization of 4821

4821 = 3 x 1607

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

LCM = 7737705 = 3 x 3 x 5 x 107 x 1607

Step 4: Therefore, the least common multiple of 4815 and 4821 is 7737705.