Least Common Multiple of 1988 and 1996

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 1996 the smallest integer that is 992012 that is divisible by both numbers.

Least Common Multiple (LCM) of 1988 and 1996 is 992012.

LCM(1988,1996) = 992012

LCM of 1988 and 1996

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

LCM of:
and

Least Common Multiple of 1988 and 1996

LCM of 1988 and 1996 is 992012

Least common multiple can be found by multiplying the highest exponent prime factors of 1988 and 1996. First we will calculate the prime factors of 1988 and 1996.

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 1996


2 1996
2 998
499 499
1

Prime factors of 1996 are 2,499. Prime factorization of 1996 in exponential form is:

1996 = 22×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 1988 and 1996.

LCM(1988,1996) = 22×71×711×4991
LCM(1988,1996) = 992012

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 1996

List of positive integer factors of 1996 that divides 1996 without a remainder.

1, 2, 4, 499, 998, 1996

Least Common Multiple of 1988 and 1996 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 1996, than apply into the LCM equation.

GCF(1988,1996) = 4
LCM(1988,1996) = ( 1988 × 1996) / 4
LCM(1988,1996) = 3968048 / 4
LCM(1988,1996) = 992012

Properties of LCM 1988 and 1996

(i) The LCM of 1996 and 1988 is associative

LCM of 1988 and 1996 = LCM of 1996 and 1988

Related Least Common Multiples of 1988

Related Least Common Multiples of 1996

Frequently Asked Questions on LCM of 1988 and 1996

1. What is the LCM of 1988 and 1996?

Answer: LCM of 1988 and 1996 is 992012.

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 1996?

Answer: Factors of 1996 are 1, 2, 4, 499, 998, 1996. There are 6 integers that are factors of 1996. The greatest factor of 1996 is 1996.

4. How to Find the LCM of 1988 and 1996?

Answer:

Least Common Multiple of 1988 and 1996 = 992012

Step 1: Find the prime factorization of 1988

1988 = 2 x 2 x 7 x 71

Step 2: Find the prime factorization of 1996

1996 = 2 x 2 x 499

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

LCM = 992012 = 2 x 2 x 7 x 71 x 499

Step 4: Therefore, the least common multiple of 1988 and 1996 is 992012.