Least Common Multiple of 1007 and 1013

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1007 and 1013 the smallest integer that is 1020091 that is divisible by both numbers.

Least Common Multiple (LCM) of 1007 and 1013 is 1020091.

LCM(1007,1013) = 1020091

LCM of 1007 and 1013

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

LCM of:
and

Least Common Multiple of 1007 and 1013

LCM of 1007 and 1013 is 1020091

Least common multiple can be found by multiplying the highest exponent prime factors of 1007 and 1013. First we will calculate the prime factors of 1007 and 1013.

Prime Factorization of 1007


19 1007
53 53
1

Prime factors of 1007 are 19,53. Prime factorization of 1007 in exponential form is:

1007 = 191×531

Prime Factorization of 1013


1013 1013
1

Prime factors of 1013 are 1013. Prime factorization of 1013 in exponential form is:

1013 = 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 1007 and 1013.

LCM(1007,1013) = 191×531×10131
LCM(1007,1013) = 1020091

Factors of 1007

List of positive integer factors of 1007 that divides 1007 without a remainder.

1, 19, 53, 1007

Factors of 1013

List of positive integer factors of 1013 that divides 1013 without a remainder.

1, 1013

Least Common Multiple of 1007 and 1013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1007 and 1013, than apply into the LCM equation.

GCF(1007,1013) = 1
LCM(1007,1013) = ( 1007 × 1013) / 1
LCM(1007,1013) = 1020091 / 1
LCM(1007,1013) = 1020091

Properties of LCM 1007 and 1013

(i) The LCM of 1013 and 1007 is associative

LCM of 1007 and 1013 = LCM of 1013 and 1007

Related Least Common Multiples of 1007

Related Least Common Multiples of 1013

Frequently Asked Questions on LCM of 1007 and 1013

1. What is the LCM of 1007 and 1013?

Answer: LCM of 1007 and 1013 is 1020091.

2. What are the Factors of 1007?

Answer: Factors of 1007 are 1, 19, 53, 1007. There are 4 integers that are factors of 1007. The greatest factor of 1007 is 1007.

3. What are the Factors of 1013?

Answer: Factors of 1013 are 1, 1013. There are 2 integers that are factors of 1013. The greatest factor of 1013 is 1013.

4. How to Find the LCM of 1007 and 1013?

Answer:

Least Common Multiple of 1007 and 1013 = 1020091

Step 1: Find the prime factorization of 1007

1007 = 19 x 53

Step 2: Find the prime factorization of 1013

1013 = 1013

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

LCM = 1020091 = 19 x 53 x 1013

Step 4: Therefore, the least common multiple of 1007 and 1013 is 1020091.