Least Common Multiple of 1992 and 1998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1992 and 1998 the smallest integer that is 663336 that is divisible by both numbers.

Least Common Multiple (LCM) of 1992 and 1998 is 663336.

LCM(1992,1998) = 663336

LCM of 1992 and 1998

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

LCM of:
and

Least Common Multiple of 1992 and 1998

LCM of 1992 and 1998 is 663336

Least common multiple can be found by multiplying the highest exponent prime factors of 1992 and 1998. First we will calculate the prime factors of 1992 and 1998.

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

Prime Factorization of 1998


2 1998
3 999
3 333
3 111
37 37
1

Prime factors of 1998 are 2, 3,37. Prime factorization of 1998 in exponential form is:

1998 = 21×33×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1992 and 1998.

LCM(1992,1998) = 23×33×371×831
LCM(1992,1998) = 663336

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

Factors of 1998

List of positive integer factors of 1998 that divides 1998 without a remainder.

1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 111, 222, 333, 666, 999, 1998

Least Common Multiple of 1992 and 1998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1992 and 1998, than apply into the LCM equation.

GCF(1992,1998) = 6
LCM(1992,1998) = ( 1992 × 1998) / 6
LCM(1992,1998) = 3980016 / 6
LCM(1992,1998) = 663336

Properties of LCM 1992 and 1998

(i) The LCM of 1998 and 1992 is associative

LCM of 1992 and 1998 = LCM of 1998 and 1992

Related Least Common Multiples of 1992

Related Least Common Multiples of 1998

Frequently Asked Questions on LCM of 1992 and 1998

1. What is the LCM of 1992 and 1998?

Answer: LCM of 1992 and 1998 is 663336.

2. 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.

3. What are the Factors of 1998?

Answer: Factors of 1998 are 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 111, 222, 333, 666, 999, 1998. There are 16 integers that are factors of 1998. The greatest factor of 1998 is 1998.

4. How to Find the LCM of 1992 and 1998?

Answer:

Least Common Multiple of 1992 and 1998 = 663336

Step 1: Find the prime factorization of 1992

1992 = 2 x 2 x 2 x 3 x 83

Step 2: Find the prime factorization of 1998

1998 = 2 x 3 x 3 x 3 x 37

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

LCM = 663336 = 2 x 2 x 2 x 3 x 3 x 3 x 37 x 83

Step 4: Therefore, the least common multiple of 1992 and 1998 is 663336.