Least Common Multiple of 992 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 992 and 995 the smallest integer that is 987040 that is divisible by both numbers.

Least Common Multiple (LCM) of 992 and 995 is 987040.

LCM(992,995) = 987040

LCM of 992 and 995

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

LCM of:
and

Least Common Multiple of 992 and 995

LCM of 992 and 995 is 987040

Least common multiple can be found by multiplying the highest exponent prime factors of 992 and 995. First we will calculate the prime factors of 992 and 995.

Prime Factorization of 992


2 992
2 496
2 248
2 124
2 62
31 31
1

Prime factors of 992 are 2,31. Prime factorization of 992 in exponential form is:

992 = 25×311

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 992 and 995.

LCM(992,995) = 25×51×311×1991
LCM(992,995) = 987040

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Factors of 995

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

1, 5, 199, 995

Least Common Multiple of 992 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 992 and 995, than apply into the LCM equation.

GCF(992,995) = 1
LCM(992,995) = ( 992 × 995) / 1
LCM(992,995) = 987040 / 1
LCM(992,995) = 987040

Properties of LCM 992 and 995

(i) The LCM of 995 and 992 is associative

LCM of 992 and 995 = LCM of 995 and 992

Related Least Common Multiples of 992

Related Least Common Multiples of 995

Frequently Asked Questions on LCM of 992 and 995

1. What is the LCM of 992 and 995?

Answer: LCM of 992 and 995 is 987040.

2. What are the Factors of 992?

Answer: Factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992. There are 12 integers that are factors of 992. The greatest factor of 992 is 992.

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 992 and 995?

Answer:

Least Common Multiple of 992 and 995 = 987040

Step 1: Find the prime factorization of 992

992 = 2 x 2 x 2 x 2 x 2 x 31

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 = 987040 = 2 x 2 x 2 x 2 x 2 x 5 x 31 x 199

Step 4: Therefore, the least common multiple of 992 and 995 is 987040.