Least Common Multiple of 7026 and 7030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7026 and 7030 the smallest integer that is 24696390 that is divisible by both numbers.

Least Common Multiple (LCM) of 7026 and 7030 is 24696390.

LCM(7026,7030) = 24696390

LCM of 7026 and 7030

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

LCM of:
and

Least Common Multiple of 7026 and 7030

LCM of 7026 and 7030 is 24696390

Least common multiple can be found by multiplying the highest exponent prime factors of 7026 and 7030. First we will calculate the prime factors of 7026 and 7030.

Prime Factorization of 7026


2 7026
3 3513
1171 1171
1

Prime factors of 7026 are 2, 3,1171. Prime factorization of 7026 in exponential form is:

7026 = 21×31×11711

Prime Factorization of 7030


2 7030
5 3515
19 703
37 37
1

Prime factors of 7030 are 2, 5, 19,37. Prime factorization of 7030 in exponential form is:

7030 = 21×51×191×371

Now multiplying the highest exponent prime factors to calculate the LCM of 7026 and 7030.

LCM(7026,7030) = 21×31×51×191×371×11711
LCM(7026,7030) = 24696390

Factors of 7026

List of positive integer factors of 7026 that divides 7026 without a remainder.

1, 2, 3, 6, 1171, 2342, 3513, 7026

Factors of 7030

List of positive integer factors of 7030 that divides 7030 without a remainder.

1, 2, 5, 10, 19, 37, 38, 74, 95, 185, 190, 370, 703, 1406, 3515, 7030

Least Common Multiple of 7026 and 7030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7026 and 7030, than apply into the LCM equation.

GCF(7026,7030) = 2
LCM(7026,7030) = ( 7026 × 7030) / 2
LCM(7026,7030) = 49392780 / 2
LCM(7026,7030) = 24696390

Properties of LCM 7026 and 7030

(i) The LCM of 7030 and 7026 is associative

LCM of 7026 and 7030 = LCM of 7030 and 7026

Related Least Common Multiples of 7026

Related Least Common Multiples of 7030

Frequently Asked Questions on LCM of 7026 and 7030

1. What is the LCM of 7026 and 7030?

Answer: LCM of 7026 and 7030 is 24696390.

2. What are the Factors of 7026?

Answer: Factors of 7026 are 1, 2, 3, 6, 1171, 2342, 3513, 7026. There are 8 integers that are factors of 7026. The greatest factor of 7026 is 7026.

3. What are the Factors of 7030?

Answer: Factors of 7030 are 1, 2, 5, 10, 19, 37, 38, 74, 95, 185, 190, 370, 703, 1406, 3515, 7030. There are 16 integers that are factors of 7030. The greatest factor of 7030 is 7030.

4. How to Find the LCM of 7026 and 7030?

Answer:

Least Common Multiple of 7026 and 7030 = 24696390

Step 1: Find the prime factorization of 7026

7026 = 2 x 3 x 1171

Step 2: Find the prime factorization of 7030

7030 = 2 x 5 x 19 x 37

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

LCM = 24696390 = 2 x 3 x 5 x 19 x 37 x 1171

Step 4: Therefore, the least common multiple of 7026 and 7030 is 24696390.