Least Common Multiple of 4989 and 4996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4989 and 4996 the smallest integer that is 24925044 that is divisible by both numbers.

Least Common Multiple (LCM) of 4989 and 4996 is 24925044.

LCM(4989,4996) = 24925044

LCM of 4989 and 4996

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

LCM of:
and

Least Common Multiple of 4989 and 4996

LCM of 4989 and 4996 is 24925044

Least common multiple can be found by multiplying the highest exponent prime factors of 4989 and 4996. First we will calculate the prime factors of 4989 and 4996.

Prime Factorization of 4989


3 4989
1663 1663
1

Prime factors of 4989 are 3,1663. Prime factorization of 4989 in exponential form is:

4989 = 31×16631

Prime Factorization of 4996


2 4996
2 2498
1249 1249
1

Prime factors of 4996 are 2,1249. Prime factorization of 4996 in exponential form is:

4996 = 22×12491

Now multiplying the highest exponent prime factors to calculate the LCM of 4989 and 4996.

LCM(4989,4996) = 22×31×12491×16631
LCM(4989,4996) = 24925044

Factors of 4989

List of positive integer factors of 4989 that divides 4989 without a remainder.

1, 3, 1663, 4989

Factors of 4996

List of positive integer factors of 4996 that divides 4996 without a remainder.

1, 2, 4, 1249, 2498, 4996

Least Common Multiple of 4989 and 4996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4989 and 4996, than apply into the LCM equation.

GCF(4989,4996) = 1
LCM(4989,4996) = ( 4989 × 4996) / 1
LCM(4989,4996) = 24925044 / 1
LCM(4989,4996) = 24925044

Properties of LCM 4989 and 4996

(i) The LCM of 4996 and 4989 is associative

LCM of 4989 and 4996 = LCM of 4996 and 4989

Related Least Common Multiples of 4989

Related Least Common Multiples of 4996

Frequently Asked Questions on LCM of 4989 and 4996

1. What is the LCM of 4989 and 4996?

Answer: LCM of 4989 and 4996 is 24925044.

2. What are the Factors of 4989?

Answer: Factors of 4989 are 1, 3, 1663, 4989. There are 4 integers that are factors of 4989. The greatest factor of 4989 is 4989.

3. What are the Factors of 4996?

Answer: Factors of 4996 are 1, 2, 4, 1249, 2498, 4996. There are 6 integers that are factors of 4996. The greatest factor of 4996 is 4996.

4. How to Find the LCM of 4989 and 4996?

Answer:

Least Common Multiple of 4989 and 4996 = 24925044

Step 1: Find the prime factorization of 4989

4989 = 3 x 1663

Step 2: Find the prime factorization of 4996

4996 = 2 x 2 x 1249

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

LCM = 24925044 = 2 x 2 x 3 x 1249 x 1663

Step 4: Therefore, the least common multiple of 4989 and 4996 is 24925044.