Least Common Multiple of 1011 and 1014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1011 and 1014 the smallest integer that is 341718 that is divisible by both numbers.

Least Common Multiple (LCM) of 1011 and 1014 is 341718.

LCM(1011,1014) = 341718

LCM of 1011 and 1014

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

LCM of:
and

Least Common Multiple of 1011 and 1014

LCM of 1011 and 1014 is 341718

Least common multiple can be found by multiplying the highest exponent prime factors of 1011 and 1014. First we will calculate the prime factors of 1011 and 1014.

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

Prime Factorization of 1014


2 1014
3 507
13 169
13 13
1

Prime factors of 1014 are 2, 3,13. Prime factorization of 1014 in exponential form is:

1014 = 21×31×132

Now multiplying the highest exponent prime factors to calculate the LCM of 1011 and 1014.

LCM(1011,1014) = 21×31×132×3371
LCM(1011,1014) = 341718

Factors of 1011

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

1, 3, 337, 1011

Factors of 1014

List of positive integer factors of 1014 that divides 1014 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014

Least Common Multiple of 1011 and 1014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1011 and 1014, than apply into the LCM equation.

GCF(1011,1014) = 3
LCM(1011,1014) = ( 1011 × 1014) / 3
LCM(1011,1014) = 1025154 / 3
LCM(1011,1014) = 341718

Properties of LCM 1011 and 1014

(i) The LCM of 1014 and 1011 is associative

LCM of 1011 and 1014 = LCM of 1014 and 1011

Related Least Common Multiples of 1011

Related Least Common Multiples of 1014

Frequently Asked Questions on LCM of 1011 and 1014

1. What is the LCM of 1011 and 1014?

Answer: LCM of 1011 and 1014 is 341718.

2. 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.

3. What are the Factors of 1014?

Answer: Factors of 1014 are 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014. There are 12 integers that are factors of 1014. The greatest factor of 1014 is 1014.

4. How to Find the LCM of 1011 and 1014?

Answer:

Least Common Multiple of 1011 and 1014 = 341718

Step 1: Find the prime factorization of 1011

1011 = 3 x 337

Step 2: Find the prime factorization of 1014

1014 = 2 x 3 x 13 x 13

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

LCM = 341718 = 2 x 3 x 13 x 13 x 337

Step 4: Therefore, the least common multiple of 1011 and 1014 is 341718.