Least Common Multiple of 7597 and 7602

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

• Least Common Multiple of 7597 and 7602 by Prime method
• Least Common Multiple of 7597 and 7602 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 7597 and 7602. First we will calculate the prime factors of 7597 and 7602.

Prime Factorization of 7597

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

7597 = 71¹×107¹

Prime Factorization of 7602

Prime factors of 7602 are 2, 3, 7,181. Prime factorization of 7602 in exponential form is:

7602 = 2¹×3¹×7¹×181¹

Now multiplying the highest exponent prime factors to calculate the LCM of 7597 and 7602.

LCM(7597,7602) = 2¹×3¹×7¹×71¹×107¹×181¹
LCM(7597,7602) = 57752394

Factors of 7597

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

1, 71, 107, 7597

Factors of 7602

List of positive integer factors of 7602 that divides 7602 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 181, 362, 543, 1086, 1267, 2534, 3801, 7602

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7597 and 7602, than apply into the LCM equation.

GCF(7597,7602) = 1
LCM(7597,7602) = ( 7597 × 7602) / 1
LCM(7597,7602) = 57752394 / 1
LCM(7597,7602) = 57752394

(i) The LCM of 7602 and 7597 is associative

LCM of 7597 and 7602 = LCM of 7602 and 7597

1. What is the LCM of 7597 and 7602?

Answer: LCM of 7597 and 7602 is 57752394.

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 7602?

Answer: Factors of 7602 are 1, 2, 3, 6, 7, 14, 21, 42, 181, 362, 543, 1086, 1267, 2534, 3801, 7602. There are 16 integers that are factors of 7602. The greatest factor of 7602 is 7602.

4. How to Find the LCM of 7597 and 7602?

Answer:

Least Common Multiple of 7597 and 7602 = 57752394

Step 1: Find the prime factorization of 7597

7597 = 71 x 107

Step 2: Find the prime factorization of 7602

7602 = 2 x 3 x 7 x 181

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

LCM = 57752394 = 2 x 3 x 7 x 71 x 107 x 181

Step 4: Therefore, the least common multiple of 7597 and 7602 is 57752394.