Least Common Multiple of 1999 and 2007

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1999 and 2007 the smallest integer that is 4011993 that is divisible by both numbers.

Least Common Multiple (LCM) of 1999 and 2007 is 4011993.

LCM(1999,2007) = 4011993

LCM of 1999 and 2007

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

LCM of:
and

Least Common Multiple of 1999 and 2007

LCM of 1999 and 2007 is 4011993

Least common multiple can be found by multiplying the highest exponent prime factors of 1999 and 2007. First we will calculate the prime factors of 1999 and 2007.

Prime Factorization of 1999


1999 1999
1

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

1999 = 19991

Prime Factorization of 2007


3 2007
3 669
223 223
1

Prime factors of 2007 are 3,223. Prime factorization of 2007 in exponential form is:

2007 = 32×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 1999 and 2007.

LCM(1999,2007) = 32×2231×19991
LCM(1999,2007) = 4011993

Factors of 1999

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

1, 1999

Factors of 2007

List of positive integer factors of 2007 that divides 2007 without a remainder.

1, 3, 9, 223, 669, 2007

Least Common Multiple of 1999 and 2007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1999 and 2007, than apply into the LCM equation.

GCF(1999,2007) = 1
LCM(1999,2007) = ( 1999 × 2007) / 1
LCM(1999,2007) = 4011993 / 1
LCM(1999,2007) = 4011993

Properties of LCM 1999 and 2007

(i) The LCM of 2007 and 1999 is associative

LCM of 1999 and 2007 = LCM of 2007 and 1999

Related Least Common Multiples of 1999

Related Least Common Multiples of 2007

Frequently Asked Questions on LCM of 1999 and 2007

1. What is the LCM of 1999 and 2007?

Answer: LCM of 1999 and 2007 is 4011993.

2. 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.

3. What are the Factors of 2007?

Answer: Factors of 2007 are 1, 3, 9, 223, 669, 2007. There are 6 integers that are factors of 2007. The greatest factor of 2007 is 2007.

4. How to Find the LCM of 1999 and 2007?

Answer:

Least Common Multiple of 1999 and 2007 = 4011993

Step 1: Find the prime factorization of 1999

1999 = 1999

Step 2: Find the prime factorization of 2007

2007 = 3 x 3 x 223

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

LCM = 4011993 = 3 x 3 x 223 x 1999

Step 4: Therefore, the least common multiple of 1999 and 2007 is 4011993.