Least Common Multiple of 2993 and 2998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2993 and 2998 the smallest integer that is 8973014 that is divisible by both numbers.

Least Common Multiple (LCM) of 2993 and 2998 is 8973014.

LCM(2993,2998) = 8973014

LCM of 2993 and 2998

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

LCM of:
and

Least Common Multiple of 2993 and 2998

LCM of 2993 and 2998 is 8973014

Least common multiple can be found by multiplying the highest exponent prime factors of 2993 and 2998. First we will calculate the prime factors of 2993 and 2998.

Prime Factorization of 2993


41 2993
73 73
1

Prime factors of 2993 are 41,73. Prime factorization of 2993 in exponential form is:

2993 = 411×731

Prime Factorization of 2998


2 2998
1499 1499
1

Prime factors of 2998 are 2,1499. Prime factorization of 2998 in exponential form is:

2998 = 21×14991

Now multiplying the highest exponent prime factors to calculate the LCM of 2993 and 2998.

LCM(2993,2998) = 21×411×731×14991
LCM(2993,2998) = 8973014

Factors of 2993

List of positive integer factors of 2993 that divides 2993 without a remainder.

1, 41, 73, 2993

Factors of 2998

List of positive integer factors of 2998 that divides 2998 without a remainder.

1, 2, 1499, 2998

Least Common Multiple of 2993 and 2998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2993 and 2998, than apply into the LCM equation.

GCF(2993,2998) = 1
LCM(2993,2998) = ( 2993 × 2998) / 1
LCM(2993,2998) = 8973014 / 1
LCM(2993,2998) = 8973014

Properties of LCM 2993 and 2998

(i) The LCM of 2998 and 2993 is associative

LCM of 2993 and 2998 = LCM of 2998 and 2993

Related Least Common Multiples of 2993

Related Least Common Multiples of 2998

Frequently Asked Questions on LCM of 2993 and 2998

1. What is the LCM of 2993 and 2998?

Answer: LCM of 2993 and 2998 is 8973014.

2. What are the Factors of 2993?

Answer: Factors of 2993 are 1, 41, 73, 2993. There are 4 integers that are factors of 2993. The greatest factor of 2993 is 2993.

3. What are the Factors of 2998?

Answer: Factors of 2998 are 1, 2, 1499, 2998. There are 4 integers that are factors of 2998. The greatest factor of 2998 is 2998.

4. How to Find the LCM of 2993 and 2998?

Answer:

Least Common Multiple of 2993 and 2998 = 8973014

Step 1: Find the prime factorization of 2993

2993 = 41 x 73

Step 2: Find the prime factorization of 2998

2998 = 2 x 1499

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

LCM = 8973014 = 2 x 41 x 73 x 1499

Step 4: Therefore, the least common multiple of 2993 and 2998 is 8973014.