Least Common Multiple of 1986 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 1986 and 1994 the smallest integer that is 1980042 that is divisible by both numbers.

Least Common Multiple (LCM) of 1986 and 1994 is 1980042.

LCM(1986,1994) = 1980042

LCM of 1986 and 1994

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

LCM of:
and

Least Common Multiple of 1986 and 1994

LCM of 1986 and 1994 is 1980042

Least common multiple can be found by multiplying the highest exponent prime factors of 1986 and 1994. First we will calculate the prime factors of 1986 and 1994.

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 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 1986 and 1994.

LCM(1986,1994) = 21×31×3311×9971
LCM(1986,1994) = 1980042

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 1994

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

1, 2, 997, 1994

Least Common Multiple of 1986 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 1986 and 1994, than apply into the LCM equation.

GCF(1986,1994) = 2
LCM(1986,1994) = ( 1986 × 1994) / 2
LCM(1986,1994) = 3960084 / 2
LCM(1986,1994) = 1980042

Properties of LCM 1986 and 1994

(i) The LCM of 1994 and 1986 is associative

LCM of 1986 and 1994 = LCM of 1994 and 1986

Related Least Common Multiples of 1986

Related Least Common Multiples of 1994

Frequently Asked Questions on LCM of 1986 and 1994

1. What is the LCM of 1986 and 1994?

Answer: LCM of 1986 and 1994 is 1980042.

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 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 1986 and 1994?

Answer:

Least Common Multiple of 1986 and 1994 = 1980042

Step 1: Find the prime factorization of 1986

1986 = 2 x 3 x 331

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 = 1980042 = 2 x 3 x 331 x 997

Step 4: Therefore, the least common multiple of 1986 and 1994 is 1980042.