Least Common Multiple of 1995 and 1998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1995 and 1998 the smallest integer that is 1328670 that is divisible by both numbers.

Least Common Multiple (LCM) of 1995 and 1998 is 1328670.

LCM(1995,1998) = 1328670

LCM of 1995 and 1998

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

LCM of:
and

Least Common Multiple of 1995 and 1998

LCM of 1995 and 1998 is 1328670

Least common multiple can be found by multiplying the highest exponent prime factors of 1995 and 1998. First we will calculate the prime factors of 1995 and 1998.

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

Prime Factorization of 1998


2 1998
3 999
3 333
3 111
37 37
1

Prime factors of 1998 are 2, 3,37. Prime factorization of 1998 in exponential form is:

1998 = 21×33×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1995 and 1998.

LCM(1995,1998) = 21×33×51×71×191×371
LCM(1995,1998) = 1328670

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

Factors of 1998

List of positive integer factors of 1998 that divides 1998 without a remainder.

1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 111, 222, 333, 666, 999, 1998

Least Common Multiple of 1995 and 1998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1995 and 1998, than apply into the LCM equation.

GCF(1995,1998) = 3
LCM(1995,1998) = ( 1995 × 1998) / 3
LCM(1995,1998) = 3986010 / 3
LCM(1995,1998) = 1328670

Properties of LCM 1995 and 1998

(i) The LCM of 1998 and 1995 is associative

LCM of 1995 and 1998 = LCM of 1998 and 1995

Related Least Common Multiples of 1995

Related Least Common Multiples of 1998

Frequently Asked Questions on LCM of 1995 and 1998

1. What is the LCM of 1995 and 1998?

Answer: LCM of 1995 and 1998 is 1328670.

2. 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.

3. What are the Factors of 1998?

Answer: Factors of 1998 are 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 111, 222, 333, 666, 999, 1998. There are 16 integers that are factors of 1998. The greatest factor of 1998 is 1998.

4. How to Find the LCM of 1995 and 1998?

Answer:

Least Common Multiple of 1995 and 1998 = 1328670

Step 1: Find the prime factorization of 1995

1995 = 3 x 5 x 7 x 19

Step 2: Find the prime factorization of 1998

1998 = 2 x 3 x 3 x 3 x 37

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

LCM = 1328670 = 2 x 3 x 3 x 3 x 5 x 7 x 19 x 37

Step 4: Therefore, the least common multiple of 1995 and 1998 is 1328670.