Least Common Multiple of 7576 and 7584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7576 and 7584 the smallest integer that is 7182048 that is divisible by both numbers.

Least Common Multiple (LCM) of 7576 and 7584 is 7182048.

LCM(7576,7584) = 7182048

LCM of 7576 and 7584

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

LCM of:
and

Least Common Multiple of 7576 and 7584

LCM of 7576 and 7584 is 7182048

Least common multiple can be found by multiplying the highest exponent prime factors of 7576 and 7584. First we will calculate the prime factors of 7576 and 7584.

Prime Factorization of 7576


2 7576
2 3788
2 1894
947 947
1

Prime factors of 7576 are 2,947. Prime factorization of 7576 in exponential form is:

7576 = 23×9471

Prime Factorization of 7584


2 7584
2 3792
2 1896
2 948
2 474
3 237
79 79
1

Prime factors of 7584 are 2, 3,79. Prime factorization of 7584 in exponential form is:

7584 = 25×31×791

Now multiplying the highest exponent prime factors to calculate the LCM of 7576 and 7584.

LCM(7576,7584) = 25×31×791×9471
LCM(7576,7584) = 7182048

Factors of 7576

List of positive integer factors of 7576 that divides 7576 without a remainder.

1, 2, 4, 8, 947, 1894, 3788, 7576

Factors of 7584

List of positive integer factors of 7584 that divides 7584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 79, 96, 158, 237, 316, 474, 632, 948, 1264, 1896, 2528, 3792, 7584

Least Common Multiple of 7576 and 7584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7576 and 7584, than apply into the LCM equation.

GCF(7576,7584) = 8
LCM(7576,7584) = ( 7576 × 7584) / 8
LCM(7576,7584) = 57456384 / 8
LCM(7576,7584) = 7182048

Properties of LCM 7576 and 7584

(i) The LCM of 7584 and 7576 is associative

LCM of 7576 and 7584 = LCM of 7584 and 7576

Related Least Common Multiples of 7576

Related Least Common Multiples of 7584

Frequently Asked Questions on LCM of 7576 and 7584

1. What is the LCM of 7576 and 7584?

Answer: LCM of 7576 and 7584 is 7182048.

2. What are the Factors of 7576?

Answer: Factors of 7576 are 1, 2, 4, 8, 947, 1894, 3788, 7576. There are 8 integers that are factors of 7576. The greatest factor of 7576 is 7576.

3. What are the Factors of 7584?

Answer: Factors of 7584 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 79, 96, 158, 237, 316, 474, 632, 948, 1264, 1896, 2528, 3792, 7584. There are 24 integers that are factors of 7584. The greatest factor of 7584 is 7584.

4. How to Find the LCM of 7576 and 7584?

Answer:

Least Common Multiple of 7576 and 7584 = 7182048

Step 1: Find the prime factorization of 7576

7576 = 2 x 2 x 2 x 947

Step 2: Find the prime factorization of 7584

7584 = 2 x 2 x 2 x 2 x 2 x 3 x 79

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

LCM = 7182048 = 2 x 2 x 2 x 2 x 2 x 3 x 79 x 947

Step 4: Therefore, the least common multiple of 7576 and 7584 is 7182048.