Least Common Multiple of 4826 and 4827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4826 and 4827 the smallest integer that is 23295102 that is divisible by both numbers.

Least Common Multiple (LCM) of 4826 and 4827 is 23295102.

LCM(4826,4827) = 23295102

LCM of 4826 and 4827

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

LCM of:
and

Least Common Multiple of 4826 and 4827

LCM of 4826 and 4827 is 23295102

Least common multiple can be found by multiplying the highest exponent prime factors of 4826 and 4827. First we will calculate the prime factors of 4826 and 4827.

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

Prime Factorization of 4827


3 4827
1609 1609
1

Prime factors of 4827 are 3,1609. Prime factorization of 4827 in exponential form is:

4827 = 31×16091

Now multiplying the highest exponent prime factors to calculate the LCM of 4826 and 4827.

LCM(4826,4827) = 21×31×191×1271×16091
LCM(4826,4827) = 23295102

Factors of 4826

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

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

Factors of 4827

List of positive integer factors of 4827 that divides 4827 without a remainder.

1, 3, 1609, 4827

Least Common Multiple of 4826 and 4827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4826 and 4827, than apply into the LCM equation.

GCF(4826,4827) = 1
LCM(4826,4827) = ( 4826 × 4827) / 1
LCM(4826,4827) = 23295102 / 1
LCM(4826,4827) = 23295102

Properties of LCM 4826 and 4827

(i) The LCM of 4827 and 4826 is associative

LCM of 4826 and 4827 = LCM of 4827 and 4826

Related Least Common Multiples of 4826

Related Least Common Multiples of 4827

Frequently Asked Questions on LCM of 4826 and 4827

1. What is the LCM of 4826 and 4827?

Answer: LCM of 4826 and 4827 is 23295102.

2. 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.

3. What are the Factors of 4827?

Answer: Factors of 4827 are 1, 3, 1609, 4827. There are 4 integers that are factors of 4827. The greatest factor of 4827 is 4827.

4. How to Find the LCM of 4826 and 4827?

Answer:

Least Common Multiple of 4826 and 4827 = 23295102

Step 1: Find the prime factorization of 4826

4826 = 2 x 19 x 127

Step 2: Find the prime factorization of 4827

4827 = 3 x 1609

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

LCM = 23295102 = 2 x 3 x 19 x 127 x 1609

Step 4: Therefore, the least common multiple of 4826 and 4827 is 23295102.