Least Common Multiple of 7596 and 7603

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 7603 the smallest integer that is 57752388 that is divisible by both numbers.

Least Common Multiple (LCM) of 7596 and 7603 is 57752388.

LCM(7596,7603) = 57752388

LCM of 7596 and 7603

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

LCM of:
and

Least Common Multiple of 7596 and 7603

LCM of 7596 and 7603 is 57752388

Least common multiple can be found by multiplying the highest exponent prime factors of 7596 and 7603. First we will calculate the prime factors of 7596 and 7603.

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 7603


7603 7603
1

Prime factors of 7603 are 7603. Prime factorization of 7603 in exponential form is:

7603 = 76031

Now multiplying the highest exponent prime factors to calculate the LCM of 7596 and 7603.

LCM(7596,7603) = 22×32×2111×76031
LCM(7596,7603) = 57752388

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 7603

List of positive integer factors of 7603 that divides 7603 without a remainder.

1, 7603

Least Common Multiple of 7596 and 7603 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 7603, than apply into the LCM equation.

GCF(7596,7603) = 1
LCM(7596,7603) = ( 7596 × 7603) / 1
LCM(7596,7603) = 57752388 / 1
LCM(7596,7603) = 57752388

Properties of LCM 7596 and 7603

(i) The LCM of 7603 and 7596 is associative

LCM of 7596 and 7603 = LCM of 7603 and 7596

Related Least Common Multiples of 7596

Related Least Common Multiples of 7603

Frequently Asked Questions on LCM of 7596 and 7603

1. What is the LCM of 7596 and 7603?

Answer: LCM of 7596 and 7603 is 57752388.

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 7603?

Answer: Factors of 7603 are 1, 7603. There are 2 integers that are factors of 7603. The greatest factor of 7603 is 7603.

4. How to Find the LCM of 7596 and 7603?

Answer:

Least Common Multiple of 7596 and 7603 = 57752388

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 7603

7603 = 7603

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

LCM = 57752388 = 2 x 2 x 3 x 3 x 211 x 7603

Step 4: Therefore, the least common multiple of 7596 and 7603 is 57752388.