Least Common Multiple of 1986 and 1992

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 1992 the smallest integer that is 659352 that is divisible by both numbers.

Least Common Multiple (LCM) of 1986 and 1992 is 659352.

LCM(1986,1992) = 659352

LCM of 1986 and 1992

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

LCM of:
and

Least Common Multiple of 1986 and 1992

LCM of 1986 and 1992 is 659352

Least common multiple can be found by multiplying the highest exponent prime factors of 1986 and 1992. First we will calculate the prime factors of 1986 and 1992.

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 1992


2 1992
2 996
2 498
3 249
83 83
1

Prime factors of 1992 are 2, 3,83. Prime factorization of 1992 in exponential form is:

1992 = 23×31×831

Now multiplying the highest exponent prime factors to calculate the LCM of 1986 and 1992.

LCM(1986,1992) = 23×31×831×3311
LCM(1986,1992) = 659352

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 1992

List of positive integer factors of 1992 that divides 1992 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, 1992

Least Common Multiple of 1986 and 1992 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 1992, than apply into the LCM equation.

GCF(1986,1992) = 6
LCM(1986,1992) = ( 1986 × 1992) / 6
LCM(1986,1992) = 3956112 / 6
LCM(1986,1992) = 659352

Properties of LCM 1986 and 1992

(i) The LCM of 1992 and 1986 is associative

LCM of 1986 and 1992 = LCM of 1992 and 1986

Related Least Common Multiples of 1986

Related Least Common Multiples of 1992

Frequently Asked Questions on LCM of 1986 and 1992

1. What is the LCM of 1986 and 1992?

Answer: LCM of 1986 and 1992 is 659352.

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 1992?

Answer: Factors of 1992 are 1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, 1992. There are 16 integers that are factors of 1992. The greatest factor of 1992 is 1992.

4. How to Find the LCM of 1986 and 1992?

Answer:

Least Common Multiple of 1986 and 1992 = 659352

Step 1: Find the prime factorization of 1986

1986 = 2 x 3 x 331

Step 2: Find the prime factorization of 1992

1992 = 2 x 2 x 2 x 3 x 83

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

LCM = 659352 = 2 x 2 x 2 x 3 x 83 x 331

Step 4: Therefore, the least common multiple of 1986 and 1992 is 659352.