Least Common Multiple of 1987 and 1992

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 1992 the smallest integer that is 3958104 that is divisible by both numbers.

Least Common Multiple (LCM) of 1987 and 1992 is 3958104.

LCM(1987,1992) = 3958104

LCM of 1987 and 1992

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

LCM of:
and

Least Common Multiple of 1987 and 1992

LCM of 1987 and 1992 is 3958104

Least common multiple can be found by multiplying the highest exponent prime factors of 1987 and 1992. First we will calculate the prime factors of 1987 and 1992.

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 1992


2 1992
2 996
2 498
3 249
83 83
1

Prime factors of 1992 are 2, 3,83. Prime factorization of 1992 in exponential form is:

1992 = 23×31×831

Now multiplying the highest exponent prime factors to calculate the LCM of 1987 and 1992.

LCM(1987,1992) = 23×31×831×19871
LCM(1987,1992) = 3958104

Factors of 1987

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

1, 1987

Factors of 1992

List of positive integer factors of 1992 that divides 1992 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, 1992

Least Common Multiple of 1987 and 1992 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 1992, than apply into the LCM equation.

GCF(1987,1992) = 1
LCM(1987,1992) = ( 1987 × 1992) / 1
LCM(1987,1992) = 3958104 / 1
LCM(1987,1992) = 3958104

Properties of LCM 1987 and 1992

(i) The LCM of 1992 and 1987 is associative

LCM of 1987 and 1992 = LCM of 1992 and 1987

Related Least Common Multiples of 1987

Related Least Common Multiples of 1992

Frequently Asked Questions on LCM of 1987 and 1992

1. What is the LCM of 1987 and 1992?

Answer: LCM of 1987 and 1992 is 3958104.

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 1992?

Answer: Factors of 1992 are 1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, 1992. There are 16 integers that are factors of 1992. The greatest factor of 1992 is 1992.

4. How to Find the LCM of 1987 and 1992?

Answer:

Least Common Multiple of 1987 and 1992 = 3958104

Step 1: Find the prime factorization of 1987

1987 = 1987

Step 2: Find the prime factorization of 1992

1992 = 2 x 2 x 2 x 3 x 83

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

LCM = 3958104 = 2 x 2 x 2 x 3 x 83 x 1987

Step 4: Therefore, the least common multiple of 1987 and 1992 is 3958104.