Least Common Multiple of 7006 and 7010

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7006 and 7010 the smallest integer that is 24556030 that is divisible by both numbers.

Least Common Multiple (LCM) of 7006 and 7010 is 24556030.

LCM(7006,7010) = 24556030

LCM of 7006 and 7010

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

LCM of:
and

Least Common Multiple of 7006 and 7010

LCM of 7006 and 7010 is 24556030

Least common multiple can be found by multiplying the highest exponent prime factors of 7006 and 7010. First we will calculate the prime factors of 7006 and 7010.

Prime Factorization of 7006


2 7006
31 3503
113 113
1

Prime factors of 7006 are 2, 31,113. Prime factorization of 7006 in exponential form is:

7006 = 21×311×1131

Prime Factorization of 7010


2 7010
5 3505
701 701
1

Prime factors of 7010 are 2, 5,701. Prime factorization of 7010 in exponential form is:

7010 = 21×51×7011

Now multiplying the highest exponent prime factors to calculate the LCM of 7006 and 7010.

LCM(7006,7010) = 21×51×311×1131×7011
LCM(7006,7010) = 24556030

Factors of 7006

List of positive integer factors of 7006 that divides 7006 without a remainder.

1, 2, 31, 62, 113, 226, 3503, 7006

Factors of 7010

List of positive integer factors of 7010 that divides 7010 without a remainder.

1, 2, 5, 10, 701, 1402, 3505, 7010

Least Common Multiple of 7006 and 7010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7006 and 7010, than apply into the LCM equation.

GCF(7006,7010) = 2
LCM(7006,7010) = ( 7006 × 7010) / 2
LCM(7006,7010) = 49112060 / 2
LCM(7006,7010) = 24556030

Properties of LCM 7006 and 7010

(i) The LCM of 7010 and 7006 is associative

LCM of 7006 and 7010 = LCM of 7010 and 7006

Related Least Common Multiples of 7006

Related Least Common Multiples of 7010

Frequently Asked Questions on LCM of 7006 and 7010

1. What is the LCM of 7006 and 7010?

Answer: LCM of 7006 and 7010 is 24556030.

2. What are the Factors of 7006?

Answer: Factors of 7006 are 1, 2, 31, 62, 113, 226, 3503, 7006. There are 8 integers that are factors of 7006. The greatest factor of 7006 is 7006.

3. What are the Factors of 7010?

Answer: Factors of 7010 are 1, 2, 5, 10, 701, 1402, 3505, 7010. There are 8 integers that are factors of 7010. The greatest factor of 7010 is 7010.

4. How to Find the LCM of 7006 and 7010?

Answer:

Least Common Multiple of 7006 and 7010 = 24556030

Step 1: Find the prime factorization of 7006

7006 = 2 x 31 x 113

Step 2: Find the prime factorization of 7010

7010 = 2 x 5 x 701

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

LCM = 24556030 = 2 x 5 x 31 x 113 x 701

Step 4: Therefore, the least common multiple of 7006 and 7010 is 24556030.