Least Common Multiple of 1986 and 1990

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 1990 the smallest integer that is 1976070 that is divisible by both numbers.

Least Common Multiple (LCM) of 1986 and 1990 is 1976070.

LCM(1986,1990) = 1976070

LCM of 1986 and 1990

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

LCM of:
and

Least Common Multiple of 1986 and 1990

LCM of 1986 and 1990 is 1976070

Least common multiple can be found by multiplying the highest exponent prime factors of 1986 and 1990. First we will calculate the prime factors of 1986 and 1990.

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 1990


2 1990
5 995
199 199
1

Prime factors of 1990 are 2, 5,199. Prime factorization of 1990 in exponential form is:

1990 = 21×51×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 1986 and 1990.

LCM(1986,1990) = 21×31×51×1991×3311
LCM(1986,1990) = 1976070

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 1990

List of positive integer factors of 1990 that divides 1990 without a remainder.

1, 2, 5, 10, 199, 398, 995, 1990

Least Common Multiple of 1986 and 1990 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 1990, than apply into the LCM equation.

GCF(1986,1990) = 2
LCM(1986,1990) = ( 1986 × 1990) / 2
LCM(1986,1990) = 3952140 / 2
LCM(1986,1990) = 1976070

Properties of LCM 1986 and 1990

(i) The LCM of 1990 and 1986 is associative

LCM of 1986 and 1990 = LCM of 1990 and 1986

Related Least Common Multiples of 1986

Related Least Common Multiples of 1990

Frequently Asked Questions on LCM of 1986 and 1990

1. What is the LCM of 1986 and 1990?

Answer: LCM of 1986 and 1990 is 1976070.

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 1990?

Answer: Factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990. There are 8 integers that are factors of 1990. The greatest factor of 1990 is 1990.

4. How to Find the LCM of 1986 and 1990?

Answer:

Least Common Multiple of 1986 and 1990 = 1976070

Step 1: Find the prime factorization of 1986

1986 = 2 x 3 x 331

Step 2: Find the prime factorization of 1990

1990 = 2 x 5 x 199

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

LCM = 1976070 = 2 x 3 x 5 x 199 x 331

Step 4: Therefore, the least common multiple of 1986 and 1990 is 1976070.