Least Common Multiple of 993 and 995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 993 and 995 the smallest integer that is 988035 that is divisible by both numbers.

Least Common Multiple (LCM) of 993 and 995 is 988035.

LCM(993,995) = 988035

LCM of 993 and 995

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

LCM of:
and

Least Common Multiple of 993 and 995

LCM of 993 and 995 is 988035

Least common multiple can be found by multiplying the highest exponent prime factors of 993 and 995. First we will calculate the prime factors of 993 and 995.

Prime Factorization of 993


3 993
331 331
1

Prime factors of 993 are 3,331. Prime factorization of 993 in exponential form is:

993 = 31×3311

Prime Factorization of 995


5 995
199 199
1

Prime factors of 995 are 5,199. Prime factorization of 995 in exponential form is:

995 = 51×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 993 and 995.

LCM(993,995) = 31×51×1991×3311
LCM(993,995) = 988035

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Least Common Multiple of 993 and 995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 993 and 995, than apply into the LCM equation.

GCF(993,995) = 1
LCM(993,995) = ( 993 × 995) / 1
LCM(993,995) = 988035 / 1
LCM(993,995) = 988035

Properties of LCM 993 and 995

(i) The LCM of 995 and 993 is associative

LCM of 993 and 995 = LCM of 995 and 993

Related Least Common Multiples of 993

Related Least Common Multiples of 995

Frequently Asked Questions on LCM of 993 and 995

1. What is the LCM of 993 and 995?

Answer: LCM of 993 and 995 is 988035.

2. What are the Factors of 993?

Answer: Factors of 993 are 1, 3, 331, 993. There are 4 integers that are factors of 993. The greatest factor of 993 is 993.

3. What are the Factors of 995?

Answer: Factors of 995 are 1, 5, 199, 995. There are 4 integers that are factors of 995. The greatest factor of 995 is 995.

4. How to Find the LCM of 993 and 995?

Answer:

Least Common Multiple of 993 and 995 = 988035

Step 1: Find the prime factorization of 993

993 = 3 x 331

Step 2: Find the prime factorization of 995

995 = 5 x 199

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

LCM = 988035 = 3 x 5 x 199 x 331

Step 4: Therefore, the least common multiple of 993 and 995 is 988035.