Least Common Multiple of 1010 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 1010 and 1018 the smallest integer that is 514090 that is divisible by both numbers.

Least Common Multiple (LCM) of 1010 and 1018 is 514090.

LCM(1010,1018) = 514090

LCM of 1010 and 1018

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

LCM of:
and

Least Common Multiple of 1010 and 1018

LCM of 1010 and 1018 is 514090

Least common multiple can be found by multiplying the highest exponent prime factors of 1010 and 1018. First we will calculate the prime factors of 1010 and 1018.

Prime Factorization of 1010


2 1010
5 505
101 101
1

Prime factors of 1010 are 2, 5,101. Prime factorization of 1010 in exponential form is:

1010 = 21×51×1011

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 1010 and 1018.

LCM(1010,1018) = 21×51×1011×5091
LCM(1010,1018) = 514090

Factors of 1010

List of positive integer factors of 1010 that divides 1010 without a remainder.

1, 2, 5, 10, 101, 202, 505, 1010

Factors of 1018

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

1, 2, 509, 1018

Least Common Multiple of 1010 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 1010 and 1018, than apply into the LCM equation.

GCF(1010,1018) = 2
LCM(1010,1018) = ( 1010 × 1018) / 2
LCM(1010,1018) = 1028180 / 2
LCM(1010,1018) = 514090

Properties of LCM 1010 and 1018

(i) The LCM of 1018 and 1010 is associative

LCM of 1010 and 1018 = LCM of 1018 and 1010

Related Least Common Multiples of 1010

Related Least Common Multiples of 1018

Frequently Asked Questions on LCM of 1010 and 1018

1. What is the LCM of 1010 and 1018?

Answer: LCM of 1010 and 1018 is 514090.

2. What are the Factors of 1010?

Answer: Factors of 1010 are 1, 2, 5, 10, 101, 202, 505, 1010. There are 8 integers that are factors of 1010. The greatest factor of 1010 is 1010.

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 1010 and 1018?

Answer:

Least Common Multiple of 1010 and 1018 = 514090

Step 1: Find the prime factorization of 1010

1010 = 2 x 5 x 101

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 = 514090 = 2 x 5 x 101 x 509

Step 4: Therefore, the least common multiple of 1010 and 1018 is 514090.