Least Common Multiple of 7603 and 7608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7603 and 7608 the smallest integer that is 57843624 that is divisible by both numbers.

Least Common Multiple (LCM) of 7603 and 7608 is 57843624.

LCM(7603,7608) = 57843624

LCM of 7603 and 7608

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

LCM of:
and

Least Common Multiple of 7603 and 7608

LCM of 7603 and 7608 is 57843624

Least common multiple can be found by multiplying the highest exponent prime factors of 7603 and 7608. First we will calculate the prime factors of 7603 and 7608.

Prime Factorization of 7603


7603 7603
1

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

7603 = 76031

Prime Factorization of 7608


2 7608
2 3804
2 1902
3 951
317 317
1

Prime factors of 7608 are 2, 3,317. Prime factorization of 7608 in exponential form is:

7608 = 23×31×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 7603 and 7608.

LCM(7603,7608) = 23×31×3171×76031
LCM(7603,7608) = 57843624

Factors of 7603

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

1, 7603

Factors of 7608

List of positive integer factors of 7608 that divides 7608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 317, 634, 951, 1268, 1902, 2536, 3804, 7608

Least Common Multiple of 7603 and 7608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7603 and 7608, than apply into the LCM equation.

GCF(7603,7608) = 1
LCM(7603,7608) = ( 7603 × 7608) / 1
LCM(7603,7608) = 57843624 / 1
LCM(7603,7608) = 57843624

Properties of LCM 7603 and 7608

(i) The LCM of 7608 and 7603 is associative

LCM of 7603 and 7608 = LCM of 7608 and 7603

Related Least Common Multiples of 7603

Related Least Common Multiples of 7608

Frequently Asked Questions on LCM of 7603 and 7608

1. What is the LCM of 7603 and 7608?

Answer: LCM of 7603 and 7608 is 57843624.

2. 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.

3. What are the Factors of 7608?

Answer: Factors of 7608 are 1, 2, 3, 4, 6, 8, 12, 24, 317, 634, 951, 1268, 1902, 2536, 3804, 7608. There are 16 integers that are factors of 7608. The greatest factor of 7608 is 7608.

4. How to Find the LCM of 7603 and 7608?

Answer:

Least Common Multiple of 7603 and 7608 = 57843624

Step 1: Find the prime factorization of 7603

7603 = 7603

Step 2: Find the prime factorization of 7608

7608 = 2 x 2 x 2 x 3 x 317

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

LCM = 57843624 = 2 x 2 x 2 x 3 x 317 x 7603

Step 4: Therefore, the least common multiple of 7603 and 7608 is 57843624.