Least Common Multiple of 1002 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 1002 and 1010 the smallest integer that is 506010 that is divisible by both numbers.

Least Common Multiple (LCM) of 1002 and 1010 is 506010.

LCM(1002,1010) = 506010

LCM of 1002 and 1010

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

LCM of:
and

Least Common Multiple of 1002 and 1010

LCM of 1002 and 1010 is 506010

Least common multiple can be found by multiplying the highest exponent prime factors of 1002 and 1010. First we will calculate the prime factors of 1002 and 1010.

Prime Factorization of 1002


2 1002
3 501
167 167
1

Prime factors of 1002 are 2, 3,167. Prime factorization of 1002 in exponential form is:

1002 = 21×31×1671

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 1002 and 1010.

LCM(1002,1010) = 21×31×51×1011×1671
LCM(1002,1010) = 506010

Factors of 1002

List of positive integer factors of 1002 that divides 1002 without a remainder.

1, 2, 3, 6, 167, 334, 501, 1002

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 1002 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 1002 and 1010, than apply into the LCM equation.

GCF(1002,1010) = 2
LCM(1002,1010) = ( 1002 × 1010) / 2
LCM(1002,1010) = 1012020 / 2
LCM(1002,1010) = 506010

Properties of LCM 1002 and 1010

(i) The LCM of 1010 and 1002 is associative

LCM of 1002 and 1010 = LCM of 1010 and 1002

Related Least Common Multiples of 1002

Related Least Common Multiples of 1010

Frequently Asked Questions on LCM of 1002 and 1010

1. What is the LCM of 1002 and 1010?

Answer: LCM of 1002 and 1010 is 506010.

2. What are the Factors of 1002?

Answer: Factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002. There are 8 integers that are factors of 1002. The greatest factor of 1002 is 1002.

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 1002 and 1010?

Answer:

Least Common Multiple of 1002 and 1010 = 506010

Step 1: Find the prime factorization of 1002

1002 = 2 x 3 x 167

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 = 506010 = 2 x 3 x 5 x 101 x 167

Step 4: Therefore, the least common multiple of 1002 and 1010 is 506010.