Least Common Multiple of 1991 and 1999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1991 and 1999 the smallest integer that is 3980009 that is divisible by both numbers.

Least Common Multiple (LCM) of 1991 and 1999 is 3980009.

LCM(1991,1999) = 3980009

LCM of 1991 and 1999

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

LCM of:
and

Least Common Multiple of 1991 and 1999

LCM of 1991 and 1999 is 3980009

Least common multiple can be found by multiplying the highest exponent prime factors of 1991 and 1999. First we will calculate the prime factors of 1991 and 1999.

Prime Factorization of 1991


11 1991
181 181
1

Prime factors of 1991 are 11,181. Prime factorization of 1991 in exponential form is:

1991 = 111×1811

Prime Factorization of 1999


1999 1999
1

Prime factors of 1999 are 1999. Prime factorization of 1999 in exponential form is:

1999 = 19991

Now multiplying the highest exponent prime factors to calculate the LCM of 1991 and 1999.

LCM(1991,1999) = 111×1811×19991
LCM(1991,1999) = 3980009

Factors of 1991

List of positive integer factors of 1991 that divides 1991 without a remainder.

1, 11, 181, 1991

Factors of 1999

List of positive integer factors of 1999 that divides 1999 without a remainder.

1, 1999

Least Common Multiple of 1991 and 1999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1991 and 1999, than apply into the LCM equation.

GCF(1991,1999) = 1
LCM(1991,1999) = ( 1991 × 1999) / 1
LCM(1991,1999) = 3980009 / 1
LCM(1991,1999) = 3980009

Properties of LCM 1991 and 1999

(i) The LCM of 1999 and 1991 is associative

LCM of 1991 and 1999 = LCM of 1999 and 1991

Related Least Common Multiples of 1991

Related Least Common Multiples of 1999

Frequently Asked Questions on LCM of 1991 and 1999

1. What is the LCM of 1991 and 1999?

Answer: LCM of 1991 and 1999 is 3980009.

2. What are the Factors of 1991?

Answer: Factors of 1991 are 1, 11, 181, 1991. There are 4 integers that are factors of 1991. The greatest factor of 1991 is 1991.

3. What are the Factors of 1999?

Answer: Factors of 1999 are 1, 1999. There are 2 integers that are factors of 1999. The greatest factor of 1999 is 1999.

4. How to Find the LCM of 1991 and 1999?

Answer:

Least Common Multiple of 1991 and 1999 = 3980009

Step 1: Find the prime factorization of 1991

1991 = 11 x 181

Step 2: Find the prime factorization of 1999

1999 = 1999

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

LCM = 3980009 = 11 x 181 x 1999

Step 4: Therefore, the least common multiple of 1991 and 1999 is 3980009.