Least Common Multiple of 1006 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 1006 and 1010 the smallest integer that is 508030 that is divisible by both numbers.

Least Common Multiple (LCM) of 1006 and 1010 is 508030.

LCM(1006,1010) = 508030

LCM of 1006 and 1010

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

LCM of:
and

Least Common Multiple of 1006 and 1010

LCM of 1006 and 1010 is 508030

Least common multiple can be found by multiplying the highest exponent prime factors of 1006 and 1010. First we will calculate the prime factors of 1006 and 1010.

Prime Factorization of 1006


2 1006
503 503
1

Prime factors of 1006 are 2,503. Prime factorization of 1006 in exponential form is:

1006 = 21×5031

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 1006 and 1010.

LCM(1006,1010) = 21×51×1011×5031
LCM(1006,1010) = 508030

Factors of 1006

List of positive integer factors of 1006 that divides 1006 without a remainder.

1, 2, 503, 1006

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 1006 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 1006 and 1010, than apply into the LCM equation.

GCF(1006,1010) = 2
LCM(1006,1010) = ( 1006 × 1010) / 2
LCM(1006,1010) = 1016060 / 2
LCM(1006,1010) = 508030

Properties of LCM 1006 and 1010

(i) The LCM of 1010 and 1006 is associative

LCM of 1006 and 1010 = LCM of 1010 and 1006

Related Least Common Multiples of 1006

Related Least Common Multiples of 1010

Frequently Asked Questions on LCM of 1006 and 1010

1. What is the LCM of 1006 and 1010?

Answer: LCM of 1006 and 1010 is 508030.

2. What are the Factors of 1006?

Answer: Factors of 1006 are 1, 2, 503, 1006. There are 4 integers that are factors of 1006. The greatest factor of 1006 is 1006.

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 1006 and 1010?

Answer:

Least Common Multiple of 1006 and 1010 = 508030

Step 1: Find the prime factorization of 1006

1006 = 2 x 503

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 = 508030 = 2 x 5 x 101 x 503

Step 4: Therefore, the least common multiple of 1006 and 1010 is 508030.