Least Common Multiple of 4931 and 4938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4931 and 4938 the smallest integer that is 24349278 that is divisible by both numbers.

Least Common Multiple (LCM) of 4931 and 4938 is 24349278.

LCM(4931,4938) = 24349278

LCM of 4931 and 4938

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

LCM of:
and

Least Common Multiple of 4931 and 4938

LCM of 4931 and 4938 is 24349278

Least common multiple can be found by multiplying the highest exponent prime factors of 4931 and 4938. First we will calculate the prime factors of 4931 and 4938.

Prime Factorization of 4931


4931 4931
1

Prime factors of 4931 are 4931. Prime factorization of 4931 in exponential form is:

4931 = 49311

Prime Factorization of 4938


2 4938
3 2469
823 823
1

Prime factors of 4938 are 2, 3,823. Prime factorization of 4938 in exponential form is:

4938 = 21×31×8231

Now multiplying the highest exponent prime factors to calculate the LCM of 4931 and 4938.

LCM(4931,4938) = 21×31×8231×49311
LCM(4931,4938) = 24349278

Factors of 4931

List of positive integer factors of 4931 that divides 4931 without a remainder.

1, 4931

Factors of 4938

List of positive integer factors of 4938 that divides 4938 without a remainder.

1, 2, 3, 6, 823, 1646, 2469, 4938

Least Common Multiple of 4931 and 4938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4931 and 4938, than apply into the LCM equation.

GCF(4931,4938) = 1
LCM(4931,4938) = ( 4931 × 4938) / 1
LCM(4931,4938) = 24349278 / 1
LCM(4931,4938) = 24349278

Properties of LCM 4931 and 4938

(i) The LCM of 4938 and 4931 is associative

LCM of 4931 and 4938 = LCM of 4938 and 4931

Related Least Common Multiples of 4931

Related Least Common Multiples of 4938

Frequently Asked Questions on LCM of 4931 and 4938

1. What is the LCM of 4931 and 4938?

Answer: LCM of 4931 and 4938 is 24349278.

2. What are the Factors of 4931?

Answer: Factors of 4931 are 1, 4931. There are 2 integers that are factors of 4931. The greatest factor of 4931 is 4931.

3. What are the Factors of 4938?

Answer: Factors of 4938 are 1, 2, 3, 6, 823, 1646, 2469, 4938. There are 8 integers that are factors of 4938. The greatest factor of 4938 is 4938.

4. How to Find the LCM of 4931 and 4938?

Answer:

Least Common Multiple of 4931 and 4938 = 24349278

Step 1: Find the prime factorization of 4931

4931 = 4931

Step 2: Find the prime factorization of 4938

4938 = 2 x 3 x 823

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

LCM = 24349278 = 2 x 3 x 823 x 4931

Step 4: Therefore, the least common multiple of 4931 and 4938 is 24349278.