Least Common Multiple of 1987 and 1995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1987 and 1995 the smallest integer that is 3964065 that is divisible by both numbers.

Least Common Multiple (LCM) of 1987 and 1995 is 3964065.

LCM(1987,1995) = 3964065

LCM of 1987 and 1995

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

LCM of:
and

Least Common Multiple of 1987 and 1995

LCM of 1987 and 1995 is 3964065

Least common multiple can be found by multiplying the highest exponent prime factors of 1987 and 1995. First we will calculate the prime factors of 1987 and 1995.

Prime Factorization of 1987


1987 1987
1

Prime factors of 1987 are 1987. Prime factorization of 1987 in exponential form is:

1987 = 19871

Prime Factorization of 1995


3 1995
5 665
7 133
19 19
1

Prime factors of 1995 are 3, 5, 7,19. Prime factorization of 1995 in exponential form is:

1995 = 31×51×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1987 and 1995.

LCM(1987,1995) = 31×51×71×191×19871
LCM(1987,1995) = 3964065

Factors of 1987

List of positive integer factors of 1987 that divides 1987 without a remainder.

1, 1987

Factors of 1995

List of positive integer factors of 1995 that divides 1995 without a remainder.

1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665, 1995

Least Common Multiple of 1987 and 1995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1987 and 1995, than apply into the LCM equation.

GCF(1987,1995) = 1
LCM(1987,1995) = ( 1987 × 1995) / 1
LCM(1987,1995) = 3964065 / 1
LCM(1987,1995) = 3964065

Properties of LCM 1987 and 1995

(i) The LCM of 1995 and 1987 is associative

LCM of 1987 and 1995 = LCM of 1995 and 1987

Related Least Common Multiples of 1987

Related Least Common Multiples of 1995

Frequently Asked Questions on LCM of 1987 and 1995

1. What is the LCM of 1987 and 1995?

Answer: LCM of 1987 and 1995 is 3964065.

2. What are the Factors of 1987?

Answer: Factors of 1987 are 1, 1987. There are 2 integers that are factors of 1987. The greatest factor of 1987 is 1987.

3. What are the Factors of 1995?

Answer: Factors of 1995 are 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665, 1995. There are 16 integers that are factors of 1995. The greatest factor of 1995 is 1995.

4. How to Find the LCM of 1987 and 1995?

Answer:

Least Common Multiple of 1987 and 1995 = 3964065

Step 1: Find the prime factorization of 1987

1987 = 1987

Step 2: Find the prime factorization of 1995

1995 = 3 x 5 x 7 x 19

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

LCM = 3964065 = 3 x 5 x 7 x 19 x 1987

Step 4: Therefore, the least common multiple of 1987 and 1995 is 3964065.