Least Common Multiple of 7506 and 7512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7506 and 7512 the smallest integer that is 9397512 that is divisible by both numbers.

Least Common Multiple (LCM) of 7506 and 7512 is 9397512.

LCM(7506,7512) = 9397512

LCM of 7506 and 7512

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

LCM of:
and

Least Common Multiple of 7506 and 7512

LCM of 7506 and 7512 is 9397512

Least common multiple can be found by multiplying the highest exponent prime factors of 7506 and 7512. First we will calculate the prime factors of 7506 and 7512.

Prime Factorization of 7506


2 7506
3 3753
3 1251
3 417
139 139
1

Prime factors of 7506 are 2, 3,139. Prime factorization of 7506 in exponential form is:

7506 = 21×33×1391

Prime Factorization of 7512


2 7512
2 3756
2 1878
3 939
313 313
1

Prime factors of 7512 are 2, 3,313. Prime factorization of 7512 in exponential form is:

7512 = 23×31×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 7506 and 7512.

LCM(7506,7512) = 23×33×1391×3131
LCM(7506,7512) = 9397512

Factors of 7506

List of positive integer factors of 7506 that divides 7506 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 139, 278, 417, 834, 1251, 2502, 3753, 7506

Factors of 7512

List of positive integer factors of 7512 that divides 7512 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 313, 626, 939, 1252, 1878, 2504, 3756, 7512

Least Common Multiple of 7506 and 7512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7506 and 7512, than apply into the LCM equation.

GCF(7506,7512) = 6
LCM(7506,7512) = ( 7506 × 7512) / 6
LCM(7506,7512) = 56385072 / 6
LCM(7506,7512) = 9397512

Properties of LCM 7506 and 7512

(i) The LCM of 7512 and 7506 is associative

LCM of 7506 and 7512 = LCM of 7512 and 7506

Related Least Common Multiples of 7506

Related Least Common Multiples of 7512

Frequently Asked Questions on LCM of 7506 and 7512

1. What is the LCM of 7506 and 7512?

Answer: LCM of 7506 and 7512 is 9397512.

2. What are the Factors of 7506?

Answer: Factors of 7506 are 1, 2, 3, 6, 9, 18, 27, 54, 139, 278, 417, 834, 1251, 2502, 3753, 7506. There are 16 integers that are factors of 7506. The greatest factor of 7506 is 7506.

3. What are the Factors of 7512?

Answer: Factors of 7512 are 1, 2, 3, 4, 6, 8, 12, 24, 313, 626, 939, 1252, 1878, 2504, 3756, 7512. There are 16 integers that are factors of 7512. The greatest factor of 7512 is 7512.

4. How to Find the LCM of 7506 and 7512?

Answer:

Least Common Multiple of 7506 and 7512 = 9397512

Step 1: Find the prime factorization of 7506

7506 = 2 x 3 x 3 x 3 x 139

Step 2: Find the prime factorization of 7512

7512 = 2 x 2 x 2 x 3 x 313

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

LCM = 9397512 = 2 x 2 x 2 x 3 x 3 x 3 x 139 x 313

Step 4: Therefore, the least common multiple of 7506 and 7512 is 9397512.