Least Common Multiple of 991 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 991 and 995 the smallest integer that is 986045 that is divisible by both numbers.

Least Common Multiple (LCM) of 991 and 995 is 986045.

LCM(991,995) = 986045

LCM of 991 and 995

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

LCM of:
and

Least Common Multiple of 991 and 995

LCM of 991 and 995 is 986045

Least common multiple can be found by multiplying the highest exponent prime factors of 991 and 995. First we will calculate the prime factors of 991 and 995.

Prime Factorization of 991


991 991
1

Prime factors of 991 are 991. Prime factorization of 991 in exponential form is:

991 = 9911

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 991 and 995.

LCM(991,995) = 51×1991×9911
LCM(991,995) = 986045

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1, 991

Factors of 995

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

1, 5, 199, 995

Least Common Multiple of 991 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 991 and 995, than apply into the LCM equation.

GCF(991,995) = 1
LCM(991,995) = ( 991 × 995) / 1
LCM(991,995) = 986045 / 1
LCM(991,995) = 986045

Properties of LCM 991 and 995

(i) The LCM of 995 and 991 is associative

LCM of 991 and 995 = LCM of 995 and 991

Related Least Common Multiples of 991

Related Least Common Multiples of 995

Frequently Asked Questions on LCM of 991 and 995

1. What is the LCM of 991 and 995?

Answer: LCM of 991 and 995 is 986045.

2. What are the Factors of 991?

Answer: Factors of 991 are 1, 991. There are 2 integers that are factors of 991. The greatest factor of 991 is 991.

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 991 and 995?

Answer:

Least Common Multiple of 991 and 995 = 986045

Step 1: Find the prime factorization of 991

991 = 991

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 = 986045 = 5 x 199 x 991

Step 4: Therefore, the least common multiple of 991 and 995 is 986045.