Least Common Multiple of 1986 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 1986 and 1993 the smallest integer that is 3958098 that is divisible by both numbers.

Least Common Multiple (LCM) of 1986 and 1993 is 3958098.

LCM(1986,1993) = 3958098

LCM of 1986 and 1993

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

LCM of:
and

Least Common Multiple of 1986 and 1993

LCM of 1986 and 1993 is 3958098

Least common multiple can be found by multiplying the highest exponent prime factors of 1986 and 1993. First we will calculate the prime factors of 1986 and 1993.

Prime Factorization of 1986


2 1986
3 993
331 331
1

Prime factors of 1986 are 2, 3,331. Prime factorization of 1986 in exponential form is:

1986 = 21×31×3311

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 1986 and 1993.

LCM(1986,1993) = 21×31×3311×19931
LCM(1986,1993) = 3958098

Factors of 1986

List of positive integer factors of 1986 that divides 1986 without a remainder.

1, 2, 3, 6, 331, 662, 993, 1986

Factors of 1993

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

1, 1993

Least Common Multiple of 1986 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 1986 and 1993, than apply into the LCM equation.

GCF(1986,1993) = 1
LCM(1986,1993) = ( 1986 × 1993) / 1
LCM(1986,1993) = 3958098 / 1
LCM(1986,1993) = 3958098

Properties of LCM 1986 and 1993

(i) The LCM of 1993 and 1986 is associative

LCM of 1986 and 1993 = LCM of 1993 and 1986

Related Least Common Multiples of 1986

Related Least Common Multiples of 1993

Frequently Asked Questions on LCM of 1986 and 1993

1. What is the LCM of 1986 and 1993?

Answer: LCM of 1986 and 1993 is 3958098.

2. What are the Factors of 1986?

Answer: Factors of 1986 are 1, 2, 3, 6, 331, 662, 993, 1986. There are 8 integers that are factors of 1986. The greatest factor of 1986 is 1986.

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 1986 and 1993?

Answer:

Least Common Multiple of 1986 and 1993 = 3958098

Step 1: Find the prime factorization of 1986

1986 = 2 x 3 x 331

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 = 3958098 = 2 x 3 x 331 x 1993

Step 4: Therefore, the least common multiple of 1986 and 1993 is 3958098.