Least Common Multiple of 6998 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 6998 and 7006 the smallest integer that is 24513994 that is divisible by both numbers.

Least Common Multiple (LCM) of 6998 and 7006 is 24513994.

LCM(6998,7006) = 24513994

LCM of 6998 and 7006

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

LCM of:
and

Least Common Multiple of 6998 and 7006

LCM of 6998 and 7006 is 24513994

Least common multiple can be found by multiplying the highest exponent prime factors of 6998 and 7006. First we will calculate the prime factors of 6998 and 7006.

Prime Factorization of 6998


2 6998
3499 3499
1

Prime factors of 6998 are 2,3499. Prime factorization of 6998 in exponential form is:

6998 = 21×34991

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 6998 and 7006.

LCM(6998,7006) = 21×311×1131×34991
LCM(6998,7006) = 24513994

Factors of 6998

List of positive integer factors of 6998 that divides 6998 without a remainder.

1, 2, 3499, 6998

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 6998 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 6998 and 7006, than apply into the LCM equation.

GCF(6998,7006) = 2
LCM(6998,7006) = ( 6998 × 7006) / 2
LCM(6998,7006) = 49027988 / 2
LCM(6998,7006) = 24513994

Properties of LCM 6998 and 7006

(i) The LCM of 7006 and 6998 is associative

LCM of 6998 and 7006 = LCM of 7006 and 6998

Related Least Common Multiples of 6998

Related Least Common Multiples of 7006

Frequently Asked Questions on LCM of 6998 and 7006

1. What is the LCM of 6998 and 7006?

Answer: LCM of 6998 and 7006 is 24513994.

2. What are the Factors of 6998?

Answer: Factors of 6998 are 1, 2, 3499, 6998. There are 4 integers that are factors of 6998. The greatest factor of 6998 is 6998.

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 6998 and 7006?

Answer:

Least Common Multiple of 6998 and 7006 = 24513994

Step 1: Find the prime factorization of 6998

6998 = 2 x 3499

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 = 24513994 = 2 x 31 x 113 x 3499

Step 4: Therefore, the least common multiple of 6998 and 7006 is 24513994.