Least Common Multiple of 4921 and 4926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4921 and 4926 the smallest integer that is 24240846 that is divisible by both numbers.

Least Common Multiple (LCM) of 4921 and 4926 is 24240846.

LCM(4921,4926) = 24240846

LCM of 4921 and 4926

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

LCM of:
and

Least Common Multiple of 4921 and 4926

LCM of 4921 and 4926 is 24240846

Least common multiple can be found by multiplying the highest exponent prime factors of 4921 and 4926. First we will calculate the prime factors of 4921 and 4926.

Prime Factorization of 4921


7 4921
19 703
37 37
1

Prime factors of 4921 are 7, 19,37. Prime factorization of 4921 in exponential form is:

4921 = 71×191×371

Prime Factorization of 4926


2 4926
3 2463
821 821
1

Prime factors of 4926 are 2, 3,821. Prime factorization of 4926 in exponential form is:

4926 = 21×31×8211

Now multiplying the highest exponent prime factors to calculate the LCM of 4921 and 4926.

LCM(4921,4926) = 21×31×71×191×371×8211
LCM(4921,4926) = 24240846

Factors of 4921

List of positive integer factors of 4921 that divides 4921 without a remainder.

1, 7, 19, 37, 133, 259, 703, 4921

Factors of 4926

List of positive integer factors of 4926 that divides 4926 without a remainder.

1, 2, 3, 6, 821, 1642, 2463, 4926

Least Common Multiple of 4921 and 4926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4921 and 4926, than apply into the LCM equation.

GCF(4921,4926) = 1
LCM(4921,4926) = ( 4921 × 4926) / 1
LCM(4921,4926) = 24240846 / 1
LCM(4921,4926) = 24240846

Properties of LCM 4921 and 4926

(i) The LCM of 4926 and 4921 is associative

LCM of 4921 and 4926 = LCM of 4926 and 4921

Related Least Common Multiples of 4921

Related Least Common Multiples of 4926

Frequently Asked Questions on LCM of 4921 and 4926

1. What is the LCM of 4921 and 4926?

Answer: LCM of 4921 and 4926 is 24240846.

2. What are the Factors of 4921?

Answer: Factors of 4921 are 1, 7, 19, 37, 133, 259, 703, 4921. There are 8 integers that are factors of 4921. The greatest factor of 4921 is 4921.

3. What are the Factors of 4926?

Answer: Factors of 4926 are 1, 2, 3, 6, 821, 1642, 2463, 4926. There are 8 integers that are factors of 4926. The greatest factor of 4926 is 4926.

4. How to Find the LCM of 4921 and 4926?

Answer:

Least Common Multiple of 4921 and 4926 = 24240846

Step 1: Find the prime factorization of 4921

4921 = 7 x 19 x 37

Step 2: Find the prime factorization of 4926

4926 = 2 x 3 x 821

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

LCM = 24240846 = 2 x 3 x 7 x 19 x 37 x 821

Step 4: Therefore, the least common multiple of 4921 and 4926 is 24240846.