Least Common Multiple of 4821 and 4826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4821 and 4826 the smallest integer that is 23266146 that is divisible by both numbers.

Least Common Multiple (LCM) of 4821 and 4826 is 23266146.

LCM(4821,4826) = 23266146

LCM of 4821 and 4826

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

LCM of:
and

Least Common Multiple of 4821 and 4826

LCM of 4821 and 4826 is 23266146

Least common multiple can be found by multiplying the highest exponent prime factors of 4821 and 4826. First we will calculate the prime factors of 4821 and 4826.

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

Prime Factorization of 4826


2 4826
19 2413
127 127
1

Prime factors of 4826 are 2, 19,127. Prime factorization of 4826 in exponential form is:

4826 = 21×191×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 4821 and 4826.

LCM(4821,4826) = 21×31×191×1271×16071
LCM(4821,4826) = 23266146

Factors of 4821

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

1, 3, 1607, 4821

Factors of 4826

List of positive integer factors of 4826 that divides 4826 without a remainder.

1, 2, 19, 38, 127, 254, 2413, 4826

Least Common Multiple of 4821 and 4826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4821 and 4826, than apply into the LCM equation.

GCF(4821,4826) = 1
LCM(4821,4826) = ( 4821 × 4826) / 1
LCM(4821,4826) = 23266146 / 1
LCM(4821,4826) = 23266146

Properties of LCM 4821 and 4826

(i) The LCM of 4826 and 4821 is associative

LCM of 4821 and 4826 = LCM of 4826 and 4821

Related Least Common Multiples of 4821

Related Least Common Multiples of 4826

Frequently Asked Questions on LCM of 4821 and 4826

1. What is the LCM of 4821 and 4826?

Answer: LCM of 4821 and 4826 is 23266146.

2. 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.

3. What are the Factors of 4826?

Answer: Factors of 4826 are 1, 2, 19, 38, 127, 254, 2413, 4826. There are 8 integers that are factors of 4826. The greatest factor of 4826 is 4826.

4. How to Find the LCM of 4821 and 4826?

Answer:

Least Common Multiple of 4821 and 4826 = 23266146

Step 1: Find the prime factorization of 4821

4821 = 3 x 1607

Step 2: Find the prime factorization of 4826

4826 = 2 x 19 x 127

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

LCM = 23266146 = 2 x 3 x 19 x 127 x 1607

Step 4: Therefore, the least common multiple of 4821 and 4826 is 23266146.