Least Common Multiple of 4929 and 4937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4929 and 4937 the smallest integer that is 24334473 that is divisible by both numbers.

Least Common Multiple (LCM) of 4929 and 4937 is 24334473.

LCM(4929,4937) = 24334473

LCM of 4929 and 4937

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

LCM of:
and

Least Common Multiple of 4929 and 4937

LCM of 4929 and 4937 is 24334473

Least common multiple can be found by multiplying the highest exponent prime factors of 4929 and 4937. First we will calculate the prime factors of 4929 and 4937.

Prime Factorization of 4929


3 4929
31 1643
53 53
1

Prime factors of 4929 are 3, 31,53. Prime factorization of 4929 in exponential form is:

4929 = 31×311×531

Prime Factorization of 4937


4937 4937
1

Prime factors of 4937 are 4937. Prime factorization of 4937 in exponential form is:

4937 = 49371

Now multiplying the highest exponent prime factors to calculate the LCM of 4929 and 4937.

LCM(4929,4937) = 31×311×531×49371
LCM(4929,4937) = 24334473

Factors of 4929

List of positive integer factors of 4929 that divides 4929 without a remainder.

1, 3, 31, 53, 93, 159, 1643, 4929

Factors of 4937

List of positive integer factors of 4937 that divides 4937 without a remainder.

1, 4937

Least Common Multiple of 4929 and 4937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4929 and 4937, than apply into the LCM equation.

GCF(4929,4937) = 1
LCM(4929,4937) = ( 4929 × 4937) / 1
LCM(4929,4937) = 24334473 / 1
LCM(4929,4937) = 24334473

Properties of LCM 4929 and 4937

(i) The LCM of 4937 and 4929 is associative

LCM of 4929 and 4937 = LCM of 4937 and 4929

Related Least Common Multiples of 4929

Related Least Common Multiples of 4937

Frequently Asked Questions on LCM of 4929 and 4937

1. What is the LCM of 4929 and 4937?

Answer: LCM of 4929 and 4937 is 24334473.

2. What are the Factors of 4929?

Answer: Factors of 4929 are 1, 3, 31, 53, 93, 159, 1643, 4929. There are 8 integers that are factors of 4929. The greatest factor of 4929 is 4929.

3. What are the Factors of 4937?

Answer: Factors of 4937 are 1, 4937. There are 2 integers that are factors of 4937. The greatest factor of 4937 is 4937.

4. How to Find the LCM of 4929 and 4937?

Answer:

Least Common Multiple of 4929 and 4937 = 24334473

Step 1: Find the prime factorization of 4929

4929 = 3 x 31 x 53

Step 2: Find the prime factorization of 4937

4937 = 4937

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

LCM = 24334473 = 3 x 31 x 53 x 4937

Step 4: Therefore, the least common multiple of 4929 and 4937 is 24334473.