Least Common Multiple of 1992 and 1997

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 1997 the smallest integer that is 3978024 that is divisible by both numbers.

Least Common Multiple (LCM) of 1992 and 1997 is 3978024.

LCM(1992,1997) = 3978024

LCM of 1992 and 1997

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

LCM of:
and

Least Common Multiple of 1992 and 1997

LCM of 1992 and 1997 is 3978024

Least common multiple can be found by multiplying the highest exponent prime factors of 1992 and 1997. First we will calculate the prime factors of 1992 and 1997.

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 1997


1997 1997
1

Prime factors of 1997 are 1997. Prime factorization of 1997 in exponential form is:

1997 = 19971

Now multiplying the highest exponent prime factors to calculate the LCM of 1992 and 1997.

LCM(1992,1997) = 23×31×831×19971
LCM(1992,1997) = 3978024

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 1997

List of positive integer factors of 1997 that divides 1997 without a remainder.

1, 1997

Least Common Multiple of 1992 and 1997 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 1997, than apply into the LCM equation.

GCF(1992,1997) = 1
LCM(1992,1997) = ( 1992 × 1997) / 1
LCM(1992,1997) = 3978024 / 1
LCM(1992,1997) = 3978024

Properties of LCM 1992 and 1997

(i) The LCM of 1997 and 1992 is associative

LCM of 1992 and 1997 = LCM of 1997 and 1992

Related Least Common Multiples of 1992

Related Least Common Multiples of 1997

Frequently Asked Questions on LCM of 1992 and 1997

1. What is the LCM of 1992 and 1997?

Answer: LCM of 1992 and 1997 is 3978024.

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 1997?

Answer: Factors of 1997 are 1, 1997. There are 2 integers that are factors of 1997. The greatest factor of 1997 is 1997.

4. How to Find the LCM of 1992 and 1997?

Answer:

Least Common Multiple of 1992 and 1997 = 3978024

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 1997

1997 = 1997

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

LCM = 3978024 = 2 x 2 x 2 x 3 x 83 x 1997

Step 4: Therefore, the least common multiple of 1992 and 1997 is 3978024.