Least Common Multiple of 7452 and 7457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7452 and 7457 the smallest integer that is 55569564 that is divisible by both numbers.

Least Common Multiple (LCM) of 7452 and 7457 is 55569564.

LCM(7452,7457) = 55569564

LCM of 7452 and 7457

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

LCM of:
and

Least Common Multiple of 7452 and 7457

LCM of 7452 and 7457 is 55569564

Least common multiple can be found by multiplying the highest exponent prime factors of 7452 and 7457. First we will calculate the prime factors of 7452 and 7457.

Prime Factorization of 7452


2 7452
2 3726
3 1863
3 621
3 207
3 69
23 23
1

Prime factors of 7452 are 2, 3,23. Prime factorization of 7452 in exponential form is:

7452 = 22×34×231

Prime Factorization of 7457


7457 7457
1

Prime factors of 7457 are 7457. Prime factorization of 7457 in exponential form is:

7457 = 74571

Now multiplying the highest exponent prime factors to calculate the LCM of 7452 and 7457.

LCM(7452,7457) = 22×34×231×74571
LCM(7452,7457) = 55569564

Factors of 7452

List of positive integer factors of 7452 that divides 7452 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 81, 92, 108, 138, 162, 207, 276, 324, 414, 621, 828, 1242, 1863, 2484, 3726, 7452

Factors of 7457

List of positive integer factors of 7457 that divides 7457 without a remainder.

1, 7457

Least Common Multiple of 7452 and 7457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7452 and 7457, than apply into the LCM equation.

GCF(7452,7457) = 1
LCM(7452,7457) = ( 7452 × 7457) / 1
LCM(7452,7457) = 55569564 / 1
LCM(7452,7457) = 55569564

Properties of LCM 7452 and 7457

(i) The LCM of 7457 and 7452 is associative

LCM of 7452 and 7457 = LCM of 7457 and 7452

Related Least Common Multiples of 7452

Related Least Common Multiples of 7457

Frequently Asked Questions on LCM of 7452 and 7457

1. What is the LCM of 7452 and 7457?

Answer: LCM of 7452 and 7457 is 55569564.

2. What are the Factors of 7452?

Answer: Factors of 7452 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 81, 92, 108, 138, 162, 207, 276, 324, 414, 621, 828, 1242, 1863, 2484, 3726, 7452. There are 30 integers that are factors of 7452. The greatest factor of 7452 is 7452.

3. What are the Factors of 7457?

Answer: Factors of 7457 are 1, 7457. There are 2 integers that are factors of 7457. The greatest factor of 7457 is 7457.

4. How to Find the LCM of 7452 and 7457?

Answer:

Least Common Multiple of 7452 and 7457 = 55569564

Step 1: Find the prime factorization of 7452

7452 = 2 x 2 x 3 x 3 x 3 x 3 x 23

Step 2: Find the prime factorization of 7457

7457 = 7457

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

LCM = 55569564 = 2 x 2 x 3 x 3 x 3 x 3 x 23 x 7457

Step 4: Therefore, the least common multiple of 7452 and 7457 is 55569564.