Least Common Multiple of 7596 and 7602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7596 and 7602 the smallest integer that is 9624132 that is divisible by both numbers.

Least Common Multiple (LCM) of 7596 and 7602 is 9624132.

LCM(7596,7602) = 9624132

LCM of 7596 and 7602

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

LCM of:
and

Least Common Multiple of 7596 and 7602

LCM of 7596 and 7602 is 9624132

Least common multiple can be found by multiplying the highest exponent prime factors of 7596 and 7602. First we will calculate the prime factors of 7596 and 7602.

Prime Factorization of 7596


2 7596
2 3798
3 1899
3 633
211 211
1

Prime factors of 7596 are 2, 3,211. Prime factorization of 7596 in exponential form is:

7596 = 22×32×2111

Prime Factorization of 7602


2 7602
3 3801
7 1267
181 181
1

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 7596 and 7602.

LCM(7596,7602) = 22×32×71×1811×2111
LCM(7596,7602) = 9624132

Factors of 7596

List of positive integer factors of 7596 that divides 7596 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 211, 422, 633, 844, 1266, 1899, 2532, 3798, 7596

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

Least Common Multiple of 7596 and 7602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7596 and 7602, than apply into the LCM equation.

GCF(7596,7602) = 6
LCM(7596,7602) = ( 7596 × 7602) / 6
LCM(7596,7602) = 57744792 / 6
LCM(7596,7602) = 9624132

Properties of LCM 7596 and 7602

(i) The LCM of 7602 and 7596 is associative

LCM of 7596 and 7602 = LCM of 7602 and 7596

Related Least Common Multiples of 7596

Related Least Common Multiples of 7602

Frequently Asked Questions on LCM of 7596 and 7602

1. What is the LCM of 7596 and 7602?

Answer: LCM of 7596 and 7602 is 9624132.

2. What are the Factors of 7596?

Answer: Factors of 7596 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 211, 422, 633, 844, 1266, 1899, 2532, 3798, 7596. There are 18 integers that are factors of 7596. The greatest factor of 7596 is 7596.

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 7596 and 7602?

Answer:

Least Common Multiple of 7596 and 7602 = 9624132

Step 1: Find the prime factorization of 7596

7596 = 2 x 2 x 3 x 3 x 211

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 = 9624132 = 2 x 2 x 3 x 3 x 7 x 181 x 211

Step 4: Therefore, the least common multiple of 7596 and 7602 is 9624132.