Least Common Multiple of 7608 and 7609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7608 and 7609 the smallest integer that is 57889272 that is divisible by both numbers.

Least Common Multiple (LCM) of 7608 and 7609 is 57889272.

LCM(7608,7609) = 57889272

LCM of 7608 and 7609

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

LCM of:
and

Least Common Multiple of 7608 and 7609

LCM of 7608 and 7609 is 57889272

Least common multiple can be found by multiplying the highest exponent prime factors of 7608 and 7609. First we will calculate the prime factors of 7608 and 7609.

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

Prime Factorization of 7609


7 7609
1087 1087
1

Prime factors of 7609 are 7,1087. Prime factorization of 7609 in exponential form is:

7609 = 71×10871

Now multiplying the highest exponent prime factors to calculate the LCM of 7608 and 7609.

LCM(7608,7609) = 23×31×71×3171×10871
LCM(7608,7609) = 57889272

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

Factors of 7609

List of positive integer factors of 7609 that divides 7609 without a remainder.

1, 7, 1087, 7609

Least Common Multiple of 7608 and 7609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7608 and 7609, than apply into the LCM equation.

GCF(7608,7609) = 1
LCM(7608,7609) = ( 7608 × 7609) / 1
LCM(7608,7609) = 57889272 / 1
LCM(7608,7609) = 57889272

Properties of LCM 7608 and 7609

(i) The LCM of 7609 and 7608 is associative

LCM of 7608 and 7609 = LCM of 7609 and 7608

Related Least Common Multiples of 7608

Related Least Common Multiples of 7609

Frequently Asked Questions on LCM of 7608 and 7609

1. What is the LCM of 7608 and 7609?

Answer: LCM of 7608 and 7609 is 57889272.

2. 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.

3. What are the Factors of 7609?

Answer: Factors of 7609 are 1, 7, 1087, 7609. There are 4 integers that are factors of 7609. The greatest factor of 7609 is 7609.

4. How to Find the LCM of 7608 and 7609?

Answer:

Least Common Multiple of 7608 and 7609 = 57889272

Step 1: Find the prime factorization of 7608

7608 = 2 x 2 x 2 x 3 x 317

Step 2: Find the prime factorization of 7609

7609 = 7 x 1087

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

LCM = 57889272 = 2 x 2 x 2 x 3 x 7 x 317 x 1087

Step 4: Therefore, the least common multiple of 7608 and 7609 is 57889272.