Least Common Multiple of 2985 and 2993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2985 and 2993 the smallest integer that is 8934105 that is divisible by both numbers.

Least Common Multiple (LCM) of 2985 and 2993 is 8934105.

LCM(2985,2993) = 8934105

LCM of 2985 and 2993

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

LCM of:
and

Least Common Multiple of 2985 and 2993

LCM of 2985 and 2993 is 8934105

Least common multiple can be found by multiplying the highest exponent prime factors of 2985 and 2993. First we will calculate the prime factors of 2985 and 2993.

Prime Factorization of 2985


3 2985
5 995
199 199
1

Prime factors of 2985 are 3, 5,199. Prime factorization of 2985 in exponential form is:

2985 = 31×51×1991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2985 and 2993.

LCM(2985,2993) = 31×51×411×731×1991
LCM(2985,2993) = 8934105

Factors of 2985

List of positive integer factors of 2985 that divides 2985 without a remainder.

1, 3, 5, 15, 199, 597, 995, 2985

Factors of 2993

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

1, 41, 73, 2993

Least Common Multiple of 2985 and 2993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2985 and 2993, than apply into the LCM equation.

GCF(2985,2993) = 1
LCM(2985,2993) = ( 2985 × 2993) / 1
LCM(2985,2993) = 8934105 / 1
LCM(2985,2993) = 8934105

Properties of LCM 2985 and 2993

(i) The LCM of 2993 and 2985 is associative

LCM of 2985 and 2993 = LCM of 2993 and 2985

Related Least Common Multiples of 2985

Related Least Common Multiples of 2993

Frequently Asked Questions on LCM of 2985 and 2993

1. What is the LCM of 2985 and 2993?

Answer: LCM of 2985 and 2993 is 8934105.

2. What are the Factors of 2985?

Answer: Factors of 2985 are 1, 3, 5, 15, 199, 597, 995, 2985. There are 8 integers that are factors of 2985. The greatest factor of 2985 is 2985.

3. 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.

4. How to Find the LCM of 2985 and 2993?

Answer:

Least Common Multiple of 2985 and 2993 = 8934105

Step 1: Find the prime factorization of 2985

2985 = 3 x 5 x 199

Step 2: Find the prime factorization of 2993

2993 = 41 x 73

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

LCM = 8934105 = 3 x 5 x 41 x 73 x 199

Step 4: Therefore, the least common multiple of 2985 and 2993 is 8934105.