Least Common Multiple of 7597 and 7604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7597 and 7604 the smallest integer that is 57767588 that is divisible by both numbers.

Least Common Multiple (LCM) of 7597 and 7604 is 57767588.

LCM(7597,7604) = 57767588

LCM of 7597 and 7604

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

LCM of:
and

Least Common Multiple of 7597 and 7604

LCM of 7597 and 7604 is 57767588

Least common multiple can be found by multiplying the highest exponent prime factors of 7597 and 7604. First we will calculate the prime factors of 7597 and 7604.

Prime Factorization of 7597


71 7597
107 107
1

Prime factors of 7597 are 71,107. Prime factorization of 7597 in exponential form is:

7597 = 711×1071

Prime Factorization of 7604


2 7604
2 3802
1901 1901
1

Prime factors of 7604 are 2,1901. Prime factorization of 7604 in exponential form is:

7604 = 22×19011

Now multiplying the highest exponent prime factors to calculate the LCM of 7597 and 7604.

LCM(7597,7604) = 22×711×1071×19011
LCM(7597,7604) = 57767588

Factors of 7597

List of positive integer factors of 7597 that divides 7597 without a remainder.

1, 71, 107, 7597

Factors of 7604

List of positive integer factors of 7604 that divides 7604 without a remainder.

1, 2, 4, 1901, 3802, 7604

Least Common Multiple of 7597 and 7604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7597 and 7604, than apply into the LCM equation.

GCF(7597,7604) = 1
LCM(7597,7604) = ( 7597 × 7604) / 1
LCM(7597,7604) = 57767588 / 1
LCM(7597,7604) = 57767588

Properties of LCM 7597 and 7604

(i) The LCM of 7604 and 7597 is associative

LCM of 7597 and 7604 = LCM of 7604 and 7597

Related Least Common Multiples of 7597

Related Least Common Multiples of 7604

Frequently Asked Questions on LCM of 7597 and 7604

1. What is the LCM of 7597 and 7604?

Answer: LCM of 7597 and 7604 is 57767588.

2. What are the Factors of 7597?

Answer: Factors of 7597 are 1, 71, 107, 7597. There are 4 integers that are factors of 7597. The greatest factor of 7597 is 7597.

3. What are the Factors of 7604?

Answer: Factors of 7604 are 1, 2, 4, 1901, 3802, 7604. There are 6 integers that are factors of 7604. The greatest factor of 7604 is 7604.

4. How to Find the LCM of 7597 and 7604?

Answer:

Least Common Multiple of 7597 and 7604 = 57767588

Step 1: Find the prime factorization of 7597

7597 = 71 x 107

Step 2: Find the prime factorization of 7604

7604 = 2 x 2 x 1901

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

LCM = 57767588 = 2 x 2 x 71 x 107 x 1901

Step 4: Therefore, the least common multiple of 7597 and 7604 is 57767588.