Least Common Multiple of 1988 and 1993

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 1993 the smallest integer that is 3962084 that is divisible by both numbers.

Least Common Multiple (LCM) of 1988 and 1993 is 3962084.

LCM(1988,1993) = 3962084

LCM of 1988 and 1993

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

LCM of:
and

Least Common Multiple of 1988 and 1993

LCM of 1988 and 1993 is 3962084

Least common multiple can be found by multiplying the highest exponent prime factors of 1988 and 1993. First we will calculate the prime factors of 1988 and 1993.

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 1993


1993 1993
1

Prime factors of 1993 are 1993. Prime factorization of 1993 in exponential form is:

1993 = 19931

Now multiplying the highest exponent prime factors to calculate the LCM of 1988 and 1993.

LCM(1988,1993) = 22×71×711×19931
LCM(1988,1993) = 3962084

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 1993

List of positive integer factors of 1993 that divides 1993 without a remainder.

1, 1993

Least Common Multiple of 1988 and 1993 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 1993, than apply into the LCM equation.

GCF(1988,1993) = 1
LCM(1988,1993) = ( 1988 × 1993) / 1
LCM(1988,1993) = 3962084 / 1
LCM(1988,1993) = 3962084

Properties of LCM 1988 and 1993

(i) The LCM of 1993 and 1988 is associative

LCM of 1988 and 1993 = LCM of 1993 and 1988

Related Least Common Multiples of 1988

Related Least Common Multiples of 1993

Frequently Asked Questions on LCM of 1988 and 1993

1. What is the LCM of 1988 and 1993?

Answer: LCM of 1988 and 1993 is 3962084.

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 1993?

Answer: Factors of 1993 are 1, 1993. There are 2 integers that are factors of 1993. The greatest factor of 1993 is 1993.

4. How to Find the LCM of 1988 and 1993?

Answer:

Least Common Multiple of 1988 and 1993 = 3962084

Step 1: Find the prime factorization of 1988

1988 = 2 x 2 x 7 x 71

Step 2: Find the prime factorization of 1993

1993 = 1993

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

LCM = 3962084 = 2 x 2 x 7 x 71 x 1993

Step 4: Therefore, the least common multiple of 1988 and 1993 is 3962084.