Least Common Multiple of 4826 and 4829

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 4829 the smallest integer that is 23304754 that is divisible by both numbers.

Least Common Multiple (LCM) of 4826 and 4829 is 23304754.

LCM(4826,4829) = 23304754

LCM of 4826 and 4829

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

LCM of:
and

Least Common Multiple of 4826 and 4829

LCM of 4826 and 4829 is 23304754

Least common multiple can be found by multiplying the highest exponent prime factors of 4826 and 4829. First we will calculate the prime factors of 4826 and 4829.

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 4829


11 4829
439 439
1

Prime factors of 4829 are 11,439. Prime factorization of 4829 in exponential form is:

4829 = 111×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 4826 and 4829.

LCM(4826,4829) = 21×111×191×1271×4391
LCM(4826,4829) = 23304754

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 4829

List of positive integer factors of 4829 that divides 4829 without a remainder.

1, 11, 439, 4829

Least Common Multiple of 4826 and 4829 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 4829, than apply into the LCM equation.

GCF(4826,4829) = 1
LCM(4826,4829) = ( 4826 × 4829) / 1
LCM(4826,4829) = 23304754 / 1
LCM(4826,4829) = 23304754

Properties of LCM 4826 and 4829

(i) The LCM of 4829 and 4826 is associative

LCM of 4826 and 4829 = LCM of 4829 and 4826

Related Least Common Multiples of 4826

Related Least Common Multiples of 4829

Frequently Asked Questions on LCM of 4826 and 4829

1. What is the LCM of 4826 and 4829?

Answer: LCM of 4826 and 4829 is 23304754.

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 4829?

Answer: Factors of 4829 are 1, 11, 439, 4829. There are 4 integers that are factors of 4829. The greatest factor of 4829 is 4829.

4. How to Find the LCM of 4826 and 4829?

Answer:

Least Common Multiple of 4826 and 4829 = 23304754

Step 1: Find the prime factorization of 4826

4826 = 2 x 19 x 127

Step 2: Find the prime factorization of 4829

4829 = 11 x 439

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

LCM = 23304754 = 2 x 11 x 19 x 127 x 439

Step 4: Therefore, the least common multiple of 4826 and 4829 is 23304754.