Least Common Multiple of 4989 and 4993

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 4993 the smallest integer that is 24910077 that is divisible by both numbers.

Least Common Multiple (LCM) of 4989 and 4993 is 24910077.

LCM(4989,4993) = 24910077

LCM of 4989 and 4993

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

LCM of:
and

Least Common Multiple of 4989 and 4993

LCM of 4989 and 4993 is 24910077

Least common multiple can be found by multiplying the highest exponent prime factors of 4989 and 4993. First we will calculate the prime factors of 4989 and 4993.

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 4993


4993 4993
1

Prime factors of 4993 are 4993. Prime factorization of 4993 in exponential form is:

4993 = 49931

Now multiplying the highest exponent prime factors to calculate the LCM of 4989 and 4993.

LCM(4989,4993) = 31×16631×49931
LCM(4989,4993) = 24910077

Factors of 4989

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

1, 3, 1663, 4989

Factors of 4993

List of positive integer factors of 4993 that divides 4993 without a remainder.

1, 4993

Least Common Multiple of 4989 and 4993 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 4993, than apply into the LCM equation.

GCF(4989,4993) = 1
LCM(4989,4993) = ( 4989 × 4993) / 1
LCM(4989,4993) = 24910077 / 1
LCM(4989,4993) = 24910077

Properties of LCM 4989 and 4993

(i) The LCM of 4993 and 4989 is associative

LCM of 4989 and 4993 = LCM of 4993 and 4989

Related Least Common Multiples of 4989

Related Least Common Multiples of 4993

Frequently Asked Questions on LCM of 4989 and 4993

1. What is the LCM of 4989 and 4993?

Answer: LCM of 4989 and 4993 is 24910077.

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 4993?

Answer: Factors of 4993 are 1, 4993. There are 2 integers that are factors of 4993. The greatest factor of 4993 is 4993.

4. How to Find the LCM of 4989 and 4993?

Answer:

Least Common Multiple of 4989 and 4993 = 24910077

Step 1: Find the prime factorization of 4989

4989 = 3 x 1663

Step 2: Find the prime factorization of 4993

4993 = 4993

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

LCM = 24910077 = 3 x 1663 x 4993

Step 4: Therefore, the least common multiple of 4989 and 4993 is 24910077.