Least Common Multiple of 7026 and 7032

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 7032 the smallest integer that is 8234472 that is divisible by both numbers.

Least Common Multiple (LCM) of 7026 and 7032 is 8234472.

LCM(7026,7032) = 8234472

LCM of 7026 and 7032

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

LCM of:
and

Least Common Multiple of 7026 and 7032

LCM of 7026 and 7032 is 8234472

Least common multiple can be found by multiplying the highest exponent prime factors of 7026 and 7032. First we will calculate the prime factors of 7026 and 7032.

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 7032


2 7032
2 3516
2 1758
3 879
293 293
1

Prime factors of 7032 are 2, 3,293. Prime factorization of 7032 in exponential form is:

7032 = 23×31×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 7026 and 7032.

LCM(7026,7032) = 23×31×2931×11711
LCM(7026,7032) = 8234472

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 7032

List of positive integer factors of 7032 that divides 7032 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 293, 586, 879, 1172, 1758, 2344, 3516, 7032

Least Common Multiple of 7026 and 7032 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 7032, than apply into the LCM equation.

GCF(7026,7032) = 6
LCM(7026,7032) = ( 7026 × 7032) / 6
LCM(7026,7032) = 49406832 / 6
LCM(7026,7032) = 8234472

Properties of LCM 7026 and 7032

(i) The LCM of 7032 and 7026 is associative

LCM of 7026 and 7032 = LCM of 7032 and 7026

Related Least Common Multiples of 7026

Related Least Common Multiples of 7032

Frequently Asked Questions on LCM of 7026 and 7032

1. What is the LCM of 7026 and 7032?

Answer: LCM of 7026 and 7032 is 8234472.

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 7032?

Answer: Factors of 7032 are 1, 2, 3, 4, 6, 8, 12, 24, 293, 586, 879, 1172, 1758, 2344, 3516, 7032. There are 16 integers that are factors of 7032. The greatest factor of 7032 is 7032.

4. How to Find the LCM of 7026 and 7032?

Answer:

Least Common Multiple of 7026 and 7032 = 8234472

Step 1: Find the prime factorization of 7026

7026 = 2 x 3 x 1171

Step 2: Find the prime factorization of 7032

7032 = 2 x 2 x 2 x 3 x 293

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

LCM = 8234472 = 2 x 2 x 2 x 3 x 293 x 1171

Step 4: Therefore, the least common multiple of 7026 and 7032 is 8234472.