Least Common Multiple of 1004 and 1010

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1004 and 1010 the smallest integer that is 507020 that is divisible by both numbers.

Least Common Multiple (LCM) of 1004 and 1010 is 507020.

LCM(1004,1010) = 507020

LCM of 1004 and 1010

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

LCM of:
and

Least Common Multiple of 1004 and 1010

LCM of 1004 and 1010 is 507020

Least common multiple can be found by multiplying the highest exponent prime factors of 1004 and 1010. First we will calculate the prime factors of 1004 and 1010.

Prime Factorization of 1004


2 1004
2 502
251 251
1

Prime factors of 1004 are 2,251. Prime factorization of 1004 in exponential form is:

1004 = 22×2511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1004 and 1010.

LCM(1004,1010) = 22×51×1011×2511
LCM(1004,1010) = 507020

Factors of 1004

List of positive integer factors of 1004 that divides 1004 without a remainder.

1, 2, 4, 251, 502, 1004

Factors of 1010

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

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

Least Common Multiple of 1004 and 1010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1004 and 1010, than apply into the LCM equation.

GCF(1004,1010) = 2
LCM(1004,1010) = ( 1004 × 1010) / 2
LCM(1004,1010) = 1014040 / 2
LCM(1004,1010) = 507020

Properties of LCM 1004 and 1010

(i) The LCM of 1010 and 1004 is associative

LCM of 1004 and 1010 = LCM of 1010 and 1004

Related Least Common Multiples of 1004

Related Least Common Multiples of 1010

Frequently Asked Questions on LCM of 1004 and 1010

1. What is the LCM of 1004 and 1010?

Answer: LCM of 1004 and 1010 is 507020.

2. What are the Factors of 1004?

Answer: Factors of 1004 are 1, 2, 4, 251, 502, 1004. There are 6 integers that are factors of 1004. The greatest factor of 1004 is 1004.

3. 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.

4. How to Find the LCM of 1004 and 1010?

Answer:

Least Common Multiple of 1004 and 1010 = 507020

Step 1: Find the prime factorization of 1004

1004 = 2 x 2 x 251

Step 2: Find the prime factorization of 1010

1010 = 2 x 5 x 101

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

LCM = 507020 = 2 x 2 x 5 x 101 x 251

Step 4: Therefore, the least common multiple of 1004 and 1010 is 507020.