Least Common Multiple of 7597 and 7601

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 7601 the smallest integer that is 57744797 that is divisible by both numbers.

Least Common Multiple (LCM) of 7597 and 7601 is 57744797.

LCM(7597,7601) = 57744797

LCM of 7597 and 7601

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

LCM of:
and

Least Common Multiple of 7597 and 7601

LCM of 7597 and 7601 is 57744797

Least common multiple can be found by multiplying the highest exponent prime factors of 7597 and 7601. First we will calculate the prime factors of 7597 and 7601.

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 7601


11 7601
691 691
1

Prime factors of 7601 are 11,691. Prime factorization of 7601 in exponential form is:

7601 = 111×6911

Now multiplying the highest exponent prime factors to calculate the LCM of 7597 and 7601.

LCM(7597,7601) = 111×711×1071×6911
LCM(7597,7601) = 57744797

Factors of 7597

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

1, 71, 107, 7597

Factors of 7601

List of positive integer factors of 7601 that divides 7601 without a remainder.

1, 11, 691, 7601

Least Common Multiple of 7597 and 7601 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 7601, than apply into the LCM equation.

GCF(7597,7601) = 1
LCM(7597,7601) = ( 7597 × 7601) / 1
LCM(7597,7601) = 57744797 / 1
LCM(7597,7601) = 57744797

Properties of LCM 7597 and 7601

(i) The LCM of 7601 and 7597 is associative

LCM of 7597 and 7601 = LCM of 7601 and 7597

Related Least Common Multiples of 7597

Related Least Common Multiples of 7601

Frequently Asked Questions on LCM of 7597 and 7601

1. What is the LCM of 7597 and 7601?

Answer: LCM of 7597 and 7601 is 57744797.

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 7601?

Answer: Factors of 7601 are 1, 11, 691, 7601. There are 4 integers that are factors of 7601. The greatest factor of 7601 is 7601.

4. How to Find the LCM of 7597 and 7601?

Answer:

Least Common Multiple of 7597 and 7601 = 57744797

Step 1: Find the prime factorization of 7597

7597 = 71 x 107

Step 2: Find the prime factorization of 7601

7601 = 11 x 691

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

LCM = 57744797 = 11 x 71 x 107 x 691

Step 4: Therefore, the least common multiple of 7597 and 7601 is 57744797.