Least Common Multiple of 7512 and 7520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7512 and 7520 the smallest integer that is 7061280 that is divisible by both numbers.

Least Common Multiple (LCM) of 7512 and 7520 is 7061280.

LCM(7512,7520) = 7061280

LCM of 7512 and 7520

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

LCM of:
and

Least Common Multiple of 7512 and 7520

LCM of 7512 and 7520 is 7061280

Least common multiple can be found by multiplying the highest exponent prime factors of 7512 and 7520. First we will calculate the prime factors of 7512 and 7520.

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

Prime Factorization of 7520


2 7520
2 3760
2 1880
2 940
2 470
5 235
47 47
1

Prime factors of 7520 are 2, 5,47. Prime factorization of 7520 in exponential form is:

7520 = 25×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 7512 and 7520.

LCM(7512,7520) = 25×31×51×471×3131
LCM(7512,7520) = 7061280

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

Factors of 7520

List of positive integer factors of 7520 that divides 7520 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 80, 94, 160, 188, 235, 376, 470, 752, 940, 1504, 1880, 3760, 7520

Least Common Multiple of 7512 and 7520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7512 and 7520, than apply into the LCM equation.

GCF(7512,7520) = 8
LCM(7512,7520) = ( 7512 × 7520) / 8
LCM(7512,7520) = 56490240 / 8
LCM(7512,7520) = 7061280

Properties of LCM 7512 and 7520

(i) The LCM of 7520 and 7512 is associative

LCM of 7512 and 7520 = LCM of 7520 and 7512

Related Least Common Multiples of 7512

Related Least Common Multiples of 7520

Frequently Asked Questions on LCM of 7512 and 7520

1. What is the LCM of 7512 and 7520?

Answer: LCM of 7512 and 7520 is 7061280.

2. 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.

3. What are the Factors of 7520?

Answer: Factors of 7520 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 80, 94, 160, 188, 235, 376, 470, 752, 940, 1504, 1880, 3760, 7520. There are 24 integers that are factors of 7520. The greatest factor of 7520 is 7520.

4. How to Find the LCM of 7512 and 7520?

Answer:

Least Common Multiple of 7512 and 7520 = 7061280

Step 1: Find the prime factorization of 7512

7512 = 2 x 2 x 2 x 3 x 313

Step 2: Find the prime factorization of 7520

7520 = 2 x 2 x 2 x 2 x 2 x 5 x 47

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

LCM = 7061280 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 47 x 313

Step 4: Therefore, the least common multiple of 7512 and 7520 is 7061280.