Least Common Multiple of 1988 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 1988 and 1994 the smallest integer that is 1982036 that is divisible by both numbers.

Least Common Multiple (LCM) of 1988 and 1994 is 1982036.

LCM(1988,1994) = 1982036

LCM of 1988 and 1994

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

LCM of:
and

Least Common Multiple of 1988 and 1994

LCM of 1988 and 1994 is 1982036

Least common multiple can be found by multiplying the highest exponent prime factors of 1988 and 1994. First we will calculate the prime factors of 1988 and 1994.

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 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 1988 and 1994.

LCM(1988,1994) = 22×71×711×9971
LCM(1988,1994) = 1982036

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 1994

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

1, 2, 997, 1994

Least Common Multiple of 1988 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 1988 and 1994, than apply into the LCM equation.

GCF(1988,1994) = 2
LCM(1988,1994) = ( 1988 × 1994) / 2
LCM(1988,1994) = 3964072 / 2
LCM(1988,1994) = 1982036

Properties of LCM 1988 and 1994

(i) The LCM of 1994 and 1988 is associative

LCM of 1988 and 1994 = LCM of 1994 and 1988

Related Least Common Multiples of 1988

Related Least Common Multiples of 1994

Frequently Asked Questions on LCM of 1988 and 1994

1. What is the LCM of 1988 and 1994?

Answer: LCM of 1988 and 1994 is 1982036.

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 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 1988 and 1994?

Answer:

Least Common Multiple of 1988 and 1994 = 1982036

Step 1: Find the prime factorization of 1988

1988 = 2 x 2 x 7 x 71

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 = 1982036 = 2 x 2 x 7 x 71 x 997

Step 4: Therefore, the least common multiple of 1988 and 1994 is 1982036.