Least Common Multiple of 4987 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 4987 and 4993 the smallest integer that is 24900091 that is divisible by both numbers.

Least Common Multiple (LCM) of 4987 and 4993 is 24900091.

LCM(4987,4993) = 24900091

LCM of 4987 and 4993

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

LCM of:
and

Least Common Multiple of 4987 and 4993

LCM of 4987 and 4993 is 24900091

Least common multiple can be found by multiplying the highest exponent prime factors of 4987 and 4993. First we will calculate the prime factors of 4987 and 4993.

Prime Factorization of 4987


4987 4987
1

Prime factors of 4987 are 4987. Prime factorization of 4987 in exponential form is:

4987 = 49871

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 4987 and 4993.

LCM(4987,4993) = 49871×49931
LCM(4987,4993) = 24900091

Factors of 4987

List of positive integer factors of 4987 that divides 4987 without a remainder.

1, 4987

Factors of 4993

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

1, 4993

Least Common Multiple of 4987 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 4987 and 4993, than apply into the LCM equation.

GCF(4987,4993) = 1
LCM(4987,4993) = ( 4987 × 4993) / 1
LCM(4987,4993) = 24900091 / 1
LCM(4987,4993) = 24900091

Properties of LCM 4987 and 4993

(i) The LCM of 4993 and 4987 is associative

LCM of 4987 and 4993 = LCM of 4993 and 4987

Related Least Common Multiples of 4987

Related Least Common Multiples of 4993

Frequently Asked Questions on LCM of 4987 and 4993

1. What is the LCM of 4987 and 4993?

Answer: LCM of 4987 and 4993 is 24900091.

2. What are the Factors of 4987?

Answer: Factors of 4987 are 1, 4987. There are 2 integers that are factors of 4987. The greatest factor of 4987 is 4987.

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 4987 and 4993?

Answer:

Least Common Multiple of 4987 and 4993 = 24900091

Step 1: Find the prime factorization of 4987

4987 = 4987

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 = 24900091 = 4987 x 4993

Step 4: Therefore, the least common multiple of 4987 and 4993 is 24900091.