Least Common Multiple of 1989 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 1989 and 1993 the smallest integer that is 3964077 that is divisible by both numbers.

Least Common Multiple (LCM) of 1989 and 1993 is 3964077.

LCM(1989,1993) = 3964077

LCM of 1989 and 1993

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

LCM of:
and

Least Common Multiple of 1989 and 1993

LCM of 1989 and 1993 is 3964077

Least common multiple can be found by multiplying the highest exponent prime factors of 1989 and 1993. First we will calculate the prime factors of 1989 and 1993.

Prime Factorization of 1989


3 1989
3 663
13 221
17 17
1

Prime factors of 1989 are 3, 13,17. Prime factorization of 1989 in exponential form is:

1989 = 32×131×171

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 1989 and 1993.

LCM(1989,1993) = 32×131×171×19931
LCM(1989,1993) = 3964077

Factors of 1989

List of positive integer factors of 1989 that divides 1989 without a remainder.

1, 3, 9, 13, 17, 39, 51, 117, 153, 221, 663, 1989

Factors of 1993

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

1, 1993

Least Common Multiple of 1989 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 1989 and 1993, than apply into the LCM equation.

GCF(1989,1993) = 1
LCM(1989,1993) = ( 1989 × 1993) / 1
LCM(1989,1993) = 3964077 / 1
LCM(1989,1993) = 3964077

Properties of LCM 1989 and 1993

(i) The LCM of 1993 and 1989 is associative

LCM of 1989 and 1993 = LCM of 1993 and 1989

Related Least Common Multiples of 1989

Related Least Common Multiples of 1993

Frequently Asked Questions on LCM of 1989 and 1993

1. What is the LCM of 1989 and 1993?

Answer: LCM of 1989 and 1993 is 3964077.

2. What are the Factors of 1989?

Answer: Factors of 1989 are 1, 3, 9, 13, 17, 39, 51, 117, 153, 221, 663, 1989. There are 12 integers that are factors of 1989. The greatest factor of 1989 is 1989.

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 1989 and 1993?

Answer:

Least Common Multiple of 1989 and 1993 = 3964077

Step 1: Find the prime factorization of 1989

1989 = 3 x 3 x 13 x 17

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 = 3964077 = 3 x 3 x 13 x 17 x 1993

Step 4: Therefore, the least common multiple of 1989 and 1993 is 3964077.