Least Common Multiple of 1987 and 1994

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 1994 the smallest integer that is 3962078 that is divisible by both numbers.

Least Common Multiple (LCM) of 1987 and 1994 is 3962078.

LCM(1987,1994) = 3962078

LCM of 1987 and 1994

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

LCM of:
and

Least Common Multiple of 1987 and 1994

LCM of 1987 and 1994 is 3962078

Least common multiple can be found by multiplying the highest exponent prime factors of 1987 and 1994. First we will calculate the prime factors of 1987 and 1994.

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 1994


2 1994
997 997
1

Prime factors of 1994 are 2,997. Prime factorization of 1994 in exponential form is:

1994 = 21×9971

Now multiplying the highest exponent prime factors to calculate the LCM of 1987 and 1994.

LCM(1987,1994) = 21×9971×19871
LCM(1987,1994) = 3962078

Factors of 1987

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

1, 1987

Factors of 1994

List of positive integer factors of 1994 that divides 1994 without a remainder.

1, 2, 997, 1994

Least Common Multiple of 1987 and 1994 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 1994, than apply into the LCM equation.

GCF(1987,1994) = 1
LCM(1987,1994) = ( 1987 × 1994) / 1
LCM(1987,1994) = 3962078 / 1
LCM(1987,1994) = 3962078

Properties of LCM 1987 and 1994

(i) The LCM of 1994 and 1987 is associative

LCM of 1987 and 1994 = LCM of 1994 and 1987

Related Least Common Multiples of 1987

Related Least Common Multiples of 1994

Frequently Asked Questions on LCM of 1987 and 1994

1. What is the LCM of 1987 and 1994?

Answer: LCM of 1987 and 1994 is 3962078.

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 1994?

Answer: Factors of 1994 are 1, 2, 997, 1994. There are 4 integers that are factors of 1994. The greatest factor of 1994 is 1994.

4. How to Find the LCM of 1987 and 1994?

Answer:

Least Common Multiple of 1987 and 1994 = 3962078

Step 1: Find the prime factorization of 1987

1987 = 1987

Step 2: Find the prime factorization of 1994

1994 = 2 x 997

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

LCM = 3962078 = 2 x 997 x 1987

Step 4: Therefore, the least common multiple of 1987 and 1994 is 3962078.