Least Common Multiple of 7001 and 7006

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7001 and 7006 the smallest integer that is 49049006 that is divisible by both numbers.

Least Common Multiple (LCM) of 7001 and 7006 is 49049006.

LCM(7001,7006) = 49049006

LCM of 7001 and 7006

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

LCM of:
and

Least Common Multiple of 7001 and 7006

LCM of 7001 and 7006 is 49049006

Least common multiple can be found by multiplying the highest exponent prime factors of 7001 and 7006. First we will calculate the prime factors of 7001 and 7006.

Prime Factorization of 7001


7001 7001
1

Prime factors of 7001 are 7001. Prime factorization of 7001 in exponential form is:

7001 = 70011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7001 and 7006.

LCM(7001,7006) = 21×311×1131×70011
LCM(7001,7006) = 49049006

Factors of 7001

List of positive integer factors of 7001 that divides 7001 without a remainder.

1, 7001

Factors of 7006

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

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

Least Common Multiple of 7001 and 7006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7001 and 7006, than apply into the LCM equation.

GCF(7001,7006) = 1
LCM(7001,7006) = ( 7001 × 7006) / 1
LCM(7001,7006) = 49049006 / 1
LCM(7001,7006) = 49049006

Properties of LCM 7001 and 7006

(i) The LCM of 7006 and 7001 is associative

LCM of 7001 and 7006 = LCM of 7006 and 7001

Related Least Common Multiples of 7001

Related Least Common Multiples of 7006

Frequently Asked Questions on LCM of 7001 and 7006

1. What is the LCM of 7001 and 7006?

Answer: LCM of 7001 and 7006 is 49049006.

2. What are the Factors of 7001?

Answer: Factors of 7001 are 1, 7001. There are 2 integers that are factors of 7001. The greatest factor of 7001 is 7001.

3. 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.

4. How to Find the LCM of 7001 and 7006?

Answer:

Least Common Multiple of 7001 and 7006 = 49049006

Step 1: Find the prime factorization of 7001

7001 = 7001

Step 2: Find the prime factorization of 7006

7006 = 2 x 31 x 113

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

LCM = 49049006 = 2 x 31 x 113 x 7001

Step 4: Therefore, the least common multiple of 7001 and 7006 is 49049006.