Least Common Multiple of 1988 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 1988 and 1995 the smallest integer that is 566580 that is divisible by both numbers.

Least Common Multiple (LCM) of 1988 and 1995 is 566580.

LCM(1988,1995) = 566580

LCM of 1988 and 1995

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

LCM of:
and

Least Common Multiple of 1988 and 1995

LCM of 1988 and 1995 is 566580

Least common multiple can be found by multiplying the highest exponent prime factors of 1988 and 1995. First we will calculate the prime factors of 1988 and 1995.

Prime Factorization of 1988


2 1988
2 994
7 497
71 71
1

Prime factors of 1988 are 2, 7,71. Prime factorization of 1988 in exponential form is:

1988 = 22×71×711

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 1988 and 1995.

LCM(1988,1995) = 22×31×51×71×191×711
LCM(1988,1995) = 566580

Factors of 1988

List of positive integer factors of 1988 that divides 1988 without a remainder.

1, 2, 4, 7, 14, 28, 71, 142, 284, 497, 994, 1988

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 1988 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 1988 and 1995, than apply into the LCM equation.

GCF(1988,1995) = 7
LCM(1988,1995) = ( 1988 × 1995) / 7
LCM(1988,1995) = 3966060 / 7
LCM(1988,1995) = 566580

Properties of LCM 1988 and 1995

(i) The LCM of 1995 and 1988 is associative

LCM of 1988 and 1995 = LCM of 1995 and 1988

Related Least Common Multiples of 1988

Related Least Common Multiples of 1995

Frequently Asked Questions on LCM of 1988 and 1995

1. What is the LCM of 1988 and 1995?

Answer: LCM of 1988 and 1995 is 566580.

2. What are the Factors of 1988?

Answer: Factors of 1988 are 1, 2, 4, 7, 14, 28, 71, 142, 284, 497, 994, 1988. There are 12 integers that are factors of 1988. The greatest factor of 1988 is 1988.

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 1988 and 1995?

Answer:

Least Common Multiple of 1988 and 1995 = 566580

Step 1: Find the prime factorization of 1988

1988 = 2 x 2 x 7 x 71

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 = 566580 = 2 x 2 x 3 x 5 x 7 x 19 x 71

Step 4: Therefore, the least common multiple of 1988 and 1995 is 566580.