Least Common Multiple of 1011 and 1018

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 1018 the smallest integer that is 1029198 that is divisible by both numbers.

Least Common Multiple (LCM) of 1011 and 1018 is 1029198.

LCM(1011,1018) = 1029198

LCM of 1011 and 1018

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

LCM of:
and

Least Common Multiple of 1011 and 1018

LCM of 1011 and 1018 is 1029198

Least common multiple can be found by multiplying the highest exponent prime factors of 1011 and 1018. First we will calculate the prime factors of 1011 and 1018.

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 1018


2 1018
509 509
1

Prime factors of 1018 are 2,509. Prime factorization of 1018 in exponential form is:

1018 = 21×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 1011 and 1018.

LCM(1011,1018) = 21×31×3371×5091
LCM(1011,1018) = 1029198

Factors of 1011

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

1, 3, 337, 1011

Factors of 1018

List of positive integer factors of 1018 that divides 1018 without a remainder.

1, 2, 509, 1018

Least Common Multiple of 1011 and 1018 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 1018, than apply into the LCM equation.

GCF(1011,1018) = 1
LCM(1011,1018) = ( 1011 × 1018) / 1
LCM(1011,1018) = 1029198 / 1
LCM(1011,1018) = 1029198

Properties of LCM 1011 and 1018

(i) The LCM of 1018 and 1011 is associative

LCM of 1011 and 1018 = LCM of 1018 and 1011

Related Least Common Multiples of 1011

Related Least Common Multiples of 1018

Frequently Asked Questions on LCM of 1011 and 1018

1. What is the LCM of 1011 and 1018?

Answer: LCM of 1011 and 1018 is 1029198.

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 1018?

Answer: Factors of 1018 are 1, 2, 509, 1018. There are 4 integers that are factors of 1018. The greatest factor of 1018 is 1018.

4. How to Find the LCM of 1011 and 1018?

Answer:

Least Common Multiple of 1011 and 1018 = 1029198

Step 1: Find the prime factorization of 1011

1011 = 3 x 337

Step 2: Find the prime factorization of 1018

1018 = 2 x 509

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

LCM = 1029198 = 2 x 3 x 337 x 509

Step 4: Therefore, the least common multiple of 1011 and 1018 is 1029198.