Least Common Multiple of 1008 and 1011

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1008 and 1011 the smallest integer that is 339696 that is divisible by both numbers.

Least Common Multiple (LCM) of 1008 and 1011 is 339696.

LCM(1008,1011) = 339696

LCM of 1008 and 1011

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

LCM of:
and

Least Common Multiple of 1008 and 1011

LCM of 1008 and 1011 is 339696

Least common multiple can be found by multiplying the highest exponent prime factors of 1008 and 1011. First we will calculate the prime factors of 1008 and 1011.

Prime Factorization of 1008


2 1008
2 504
2 252
2 126
3 63
3 21
7 7
1

Prime factors of 1008 are 2, 3,7. Prime factorization of 1008 in exponential form is:

1008 = 24×32×71

Prime Factorization of 1011


3 1011
337 337
1

Prime factors of 1011 are 3,337. Prime factorization of 1011 in exponential form is:

1011 = 31×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 1008 and 1011.

LCM(1008,1011) = 24×32×71×3371
LCM(1008,1011) = 339696

Factors of 1008

List of positive integer factors of 1008 that divides 1008 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008

Factors of 1011

List of positive integer factors of 1011 that divides 1011 without a remainder.

1, 3, 337, 1011

Least Common Multiple of 1008 and 1011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1008 and 1011, than apply into the LCM equation.

GCF(1008,1011) = 3
LCM(1008,1011) = ( 1008 × 1011) / 3
LCM(1008,1011) = 1019088 / 3
LCM(1008,1011) = 339696

Properties of LCM 1008 and 1011

(i) The LCM of 1011 and 1008 is associative

LCM of 1008 and 1011 = LCM of 1011 and 1008

Related Least Common Multiples of 1008

Related Least Common Multiples of 1011

Frequently Asked Questions on LCM of 1008 and 1011

1. What is the LCM of 1008 and 1011?

Answer: LCM of 1008 and 1011 is 339696.

2. What are the Factors of 1008?

Answer: Factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008. There are 30 integers that are factors of 1008. The greatest factor of 1008 is 1008.

3. What are the Factors of 1011?

Answer: Factors of 1011 are 1, 3, 337, 1011. There are 4 integers that are factors of 1011. The greatest factor of 1011 is 1011.

4. How to Find the LCM of 1008 and 1011?

Answer:

Least Common Multiple of 1008 and 1011 = 339696

Step 1: Find the prime factorization of 1008

1008 = 2 x 2 x 2 x 2 x 3 x 3 x 7

Step 2: Find the prime factorization of 1011

1011 = 3 x 337

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

LCM = 339696 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 337

Step 4: Therefore, the least common multiple of 1008 and 1011 is 339696.