Least Common Multiple of 4826 and 4831

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 4831 the smallest integer that is 23314406 that is divisible by both numbers.

Least Common Multiple (LCM) of 4826 and 4831 is 23314406.

LCM(4826,4831) = 23314406

LCM of 4826 and 4831

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

LCM of:
and

Least Common Multiple of 4826 and 4831

LCM of 4826 and 4831 is 23314406

Least common multiple can be found by multiplying the highest exponent prime factors of 4826 and 4831. First we will calculate the prime factors of 4826 and 4831.

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 4831


4831 4831
1

Prime factors of 4831 are 4831. Prime factorization of 4831 in exponential form is:

4831 = 48311

Now multiplying the highest exponent prime factors to calculate the LCM of 4826 and 4831.

LCM(4826,4831) = 21×191×1271×48311
LCM(4826,4831) = 23314406

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 4831

List of positive integer factors of 4831 that divides 4831 without a remainder.

1, 4831

Least Common Multiple of 4826 and 4831 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 4831, than apply into the LCM equation.

GCF(4826,4831) = 1
LCM(4826,4831) = ( 4826 × 4831) / 1
LCM(4826,4831) = 23314406 / 1
LCM(4826,4831) = 23314406

Properties of LCM 4826 and 4831

(i) The LCM of 4831 and 4826 is associative

LCM of 4826 and 4831 = LCM of 4831 and 4826

Related Least Common Multiples of 4826

Related Least Common Multiples of 4831

Frequently Asked Questions on LCM of 4826 and 4831

1. What is the LCM of 4826 and 4831?

Answer: LCM of 4826 and 4831 is 23314406.

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 4831?

Answer: Factors of 4831 are 1, 4831. There are 2 integers that are factors of 4831. The greatest factor of 4831 is 4831.

4. How to Find the LCM of 4826 and 4831?

Answer:

Least Common Multiple of 4826 and 4831 = 23314406

Step 1: Find the prime factorization of 4826

4826 = 2 x 19 x 127

Step 2: Find the prime factorization of 4831

4831 = 4831

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

LCM = 23314406 = 2 x 19 x 127 x 4831

Step 4: Therefore, the least common multiple of 4826 and 4831 is 23314406.